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Yukawas and discrete symmetries in F-theory compactifications without section

García-Etxebarria, Iñaki; Grimm, Thomas W.; Keitel, Jan

Yukawas and discrete symmetries in F-theory compactifications without section Thumbnail


Thomas W. Grimm

Jan Keitel


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.

Journal Article Type Article
Acceptance Date Nov 10, 2014
Online Publication Date Nov 24, 2014
Publication Date 2014-11
Deposit Date Oct 11, 2018
Publicly Available Date Oct 13, 2021
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 11
Article Number 125
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Published Journal Article (540 Kb)

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