Yukawas and discrete symmetries in F-theory compactifications without section
High Energy Physics - Theory
2015-06-22 v2
Abstract
In the case of F-theory compactifications on genus-one fibrations without section there are naturally appearing discrete symmetries, which we argue to be associated to geometrically massive U(1) gauge symmetries. These discrete symmetries are shown to induce non-trivial selection rules for the allowed Yukawa couplings in SU(N) gauge theories. The general discussion is exemplified using a concrete Calabi-Yau fourfold realizing an SU(5) GUT model. We observe that M2 instanton effects appear to play a key role in the generation of new superpotential terms and in the dynamics close to phase transition loci.
Keywords
Cite
@article{arxiv.1408.6448,
title = {Yukawas and discrete symmetries in F-theory compactifications without section},
author = {Iñaki García-Etxebarria and Thomas W. Grimm and Jan Keitel},
journal= {arXiv preprint arXiv:1408.6448},
year = {2015}
}
Comments
24 pages, v2: references added, minor improvements