When rational sections become cyclic — Gauge enhancement in F-theory via Mordell-Weil torsion

Baume, Florent; Cvetič, Mirjam; Lawrie, Craig; Lin, Ling

doi:10.1007/jhep03(2018)069

When rational sections become cyclic — Gauge enhancement in F-theory via Mordell-Weil torsion

Journal Article · Mon Mar 12 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2018)069· OSTI ID:1498535

Baume, Florent ^[1]; Cvetič, Mirjam ^[2]; Lawrie, Craig ^[3]; Lin, Ling ^[4]

Heidelberg Univ., Heidelberg (Germany). Inst. for Theoretische Physik; Heidelberg Univ. (Germany)
Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Maribor, Maribor (Slovenia). Center for Applied Mathematics and Theoretical Physics
Heidelberg Univ., Heidelberg (Germany). Inst. for Theoretische Physik
Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy

We explore novel gauge enhancements from abelian to non-simply-connected gauge groups in F-theory. Accordingly, we consider complex structure deformations of elliptic fibrations with a Mordell-Weil group of rank one and identify the conditions under which the generating section becomes torsional. In the specific case of Ζ₂ torsion we construct the generic solution to these conditions and show that the associated F-theory compactification exhibits the global gauge group [SU₍₂₎ × SU₍₄₎]/Ζ₂ × SU₍₂₎. The subsolution with gauge group SU₍₂₎/Ζ₂ × SU₍₂₎, for which we provide a global resolution, is related by a further complex structure deformation to a genus-one fibration with a bisection whose Jacobian has a Ζ₂ torsional section. While an analysis of the spectrum on the Jacobian fibration reveals an SU₍₂₎/Ζ₂ × Ζ₂ gauge theory, reproducing this result from the bisection geometry raises some conceptual puzzles about F-theory on genus-one fibrations.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Pennsylvania, Philadelphia (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0013528

OSTI ID:: 1498535

Alternate ID(s):: OSTI ID: 22739249

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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