# Flavor hierarchy from F-theory

@article{Heckman2010FlavorHF,
title={Flavor hierarchy from F-theory},
author={Jonathan J. Heckman and Cumrun Vafa},
journal={Nuclear Physics},
year={2010},
volume={837},
pages={137-151}
}
• Published 17 November 2008
• Mathematics
• Nuclear Physics
142 Citations
The point of E8 in F-theory GUTs
• Physics
• 2009
We show that in F-theory GUTs, a natural explanation of flavor hierarchies in the quark and lepton sector requires a single point of E8 enhancement in the internal geometry, from which all Yukawa
Yukawa hierarchies at the point of E8 in F-theory
• Physics
• 2015
A bstractWe analyse the structure of Yukawa couplings in local SU(5) F-theory models with E8 enhancement. In this setting the E8 symmetry is broken down to SU(5) by a 7-brane configuration described
Compact F-theory GUTs with U(1)PQ
• Physics
• 2009
We construct semi-local and global realizations of SU(5) GUTs in F-theory that utilize a U(1)PQ symmetry to protect against dimension four proton decay. Symmetries of this type, which assign charges
Unification, KK-thresholds and the top Yukawa coupling in F-theory GUTs
• Physics
• 2011
In a class of F-theory SU(5) GUTs the low energy chiral mass spectrum is obtained from rank one fermion mass textures with a hierarchical structure organized by U(1) symmetries embedded in the
Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
• Physics
• 2009
In F-theory GUT constructions Yukawa couplings necessarily take place at the intersection of three matter curves. For generic geometric configurations this gives rise to problematic Yukawa couplings
The conformal sector of F-theory GUTs
• Physics
• 2011
D3-brane probes of exceptional Yukawa points in F-theory GUTs are natural hidden sectors for particle phenomenology. We find that coupling the probe to the MSSM yields a new class of \$ \mathcal{N} =
Fitting fermion masses and mixings in F-theory GUTs
• Physics
• 2016
A bstractWe analyse the structure of Yukawa couplings in local SU(5) F-theory models with E7 enhancement. These models are the minimal setting in which the whole flavour structure for the MSSM
Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• Physics
• 2009
We analyze constraints for embedding local SU(5) F-theory GUTs into consistent compactifications and construct explicit three-generation models based on the geometry of [1]. The key tool for studying
Flavor structure in F-theory compactifications
• Physics
• 2010
F-theory is one of frameworks in string theory where supersymmetric grand unification is accommodated, and all the Yukawa couplings and Majorana masses of righthanded neutrinos are generated. Yukawa

## References

SHOWING 1-10 OF 23 REFERENCES
Wave functions and Yukawa couplings in local string compactifications
• Physics
• 2008
We consider local models of magnetised D7 branes in IIB string compactifications, focussing on cases where an explicit metric can be written for the local 4-cycle. The presence of an explicit metric
Review of Particle Physics.
• Barnett
• Physics
Physical review. D, Particles and fields
• 1996
Matter from geometry
• Mathematics
• 1997