2014/06/30 by Lara B. Anderson, Iñaki García‐Etxebarria, Iñaki García-Etxebarria +2 · 112 citations
Mathematics · Physics and Astronomy · #Action (physics) #Axion #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Dark matter #Effective action #Effective field theory #F-theory #Heterotic string theory #Interpretation (philosophy) #Kaluza–Klein theory #M-theory #Massless particle #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Section (typography) #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep12(2014)156
published in Journal of High Energy Physics 2014(12) (Springer Nature) · 45 pages, 7 figures, v2: clarifications mainly in section 2, references added
arxiv created 2014/09/30 · openalex publication_date 2014/12/01 · arxiv updated 2021/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 sixdimensional 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.