2017/09/21 by Florent Baume, Mirjam Cvetič, Mirjam Cvetic +2 · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Compactification (mathematics) #Fibration #Gauge fixing #Gauge group #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Jacobian matrix and determinant #Nonlinear Waves and Solitons #Quantum gauge theory #Torsion (gastropod) #hep-th
paper · pdf · doi:10.1007/jhep03(2018)069
51 pages
arxiv created 2017/09/21 · openalex created_date 2017/10/06 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
A bstract We explore novel gauge enhancements from abelian to non-simply-connected gauge groups in F-theory. To this end 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. For the specific case of ℤ 2 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)]/ℤ 2 × SU(2). The subsolution with gauge group SU(2)/ℤ 2 × 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 ℤ 2 torsional section. While an analysis of the spectrum on the Jacobian fibration reveals an SU(2)/ℤ 2 × ℤ 2 gauge theory, reproducing this result from the bisection geometry raises some conceptual puzzles about F-theory on genus-one fibrations.