ℙ[superscript 1] -bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
Author(s)Halverson, James; Taylor IV, Washington
ℙ1 -bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
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We explore a large class of F-theory compactifications to four dimensions. We find evidence that gauge groups that cannot be Higgsed without breaking supersymmetry, often accompanied by associated matter fields, are a ubiquitous feature in the landscape of N=1 4D F-theory constructions. In particular, we study 4D F-theory models that arise from compactification on threefold bases that are ℙ[superscript 1] bundles over certain toric surfaces. These bases are one natural analogue to the minimal models for base surfaces for 6D F-theory compactifications. Of the roughly 100,000 bases that we study, only 80 are weak Fano bases in which there are no automatic singularities on the associated elliptic Calabi-Yau fourfolds, and 98.3% of the bases have geometrically non-Higgsable gauge factors. The ℙ[superscript 1]-bundle threefold bases we analyze contain a wide range of distinct surface topologies that support geometrically non-Higgsable clusters. Many of the bases that we consider contain SU(3) × SU(2) seven-brane clusters for generic values of deformation moduli; we analyze the relative frequency of this combination relative to the other four possible two-factor non-Higgsable product groups, as well as various other features such as geometrically non-Higgsable candidates for dark matter structure and phenomenological (SU(2)-charged) Higgs fields.
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics
Journal of High Energy Physics
Springer Berlin Heidelberg
Halverson, James, and Washington Taylor. “ℙ1-Bundle Bases and the Prevalence of Non-Higgsable Structure in 4D F-Theory Models.” Journal of High Energy Physics 2015.9 (2015): n. pag.
Final published version