Physics of F-theory compactifications without section

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

Abstract

We study the physics of F-theory compactifications on genus-one fibrations without section by using an M-theory dual description. The five-dimensional action obtained by considering M-theory on a Calabi-Yau threefold is compared with a six-dimensional F-theory effective action reduced on an additional circle. We propose that the six-dimensional effective action of these setups admits geometrically massive U(1) vectors with a charged hypermultiplet spectrum. The absence of a section induces NS-NS and R-R three-form fluxes in F-theory that are non-trivially supported along the circle and induce a shift-gauging of certain axions with respect to the Kaluza-Klein vector. In the five-dimensional effective theory the Kaluza-Klein vector and the massive U(1)s combine into a linear combination that is massless. This U(1) is identified with the massless U(1) corresponding to the multi-section of the Calabi-Yau threefold in M-theory. We confirm this interpretation by computing the one-loop Chern-Simons terms for the massless vectors of the five-dimensional setup by integrating out all massive states. A closed formula is found that accounts for the hypermultiplets charged under the massive U(1)s.

Citation

Anderson, L. B., García-Etxebarria, I., Grimm, T. W., & Keitel, J. (2014). Physics of F-theory compactifications without section. Journal of High Energy Physics, 2014(12), Article 156. https://doi.org/10.1007/jhep12%282014%29156

• Journal Article Type: Article
• Acceptance Date: Dec 11, 2014
• Online Publication Date: Dec 24, 2014
• Publication Date: 2014-12
• 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: 12
• Article Number: 156
• DOI: https://doi.org/10.1007/jhep12%282014%29156
• Public URL: https://durham-repository.worktribe.com/output/1316925
• Related Public URLs: https://arxiv.org/abs/1406.5180