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.
García-Etxebarria, I., Grimm, T. W., & Keitel, J. (2014). Yukawas and discrete symmetries in F-theory compactifications without section. Journal of High Energy Physics, 2014(11), Article 125. https://doi.org/10.1007/jhep11%282014%29125
Journal Article Type
Nov 10, 2014
Online Publication Date
Nov 24, 2014
Oct 11, 2018
Publicly Available Date
Oct 13, 2021
Journal of High Energy Physics
Scuola Internazionale Superiore di Studi Avanzati (SISSA)
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