2010/07/22 by Kang-Sin Choi
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Electroweak interaction #Gauge group #Gauge theory #Geometry #Group (periodic table) #Higgs boson #Lepton #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Quark #Symmetry group #Yukawa potential #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2010.08.012
published as Nucl.Phys.B842:1-32,2011 · 40 pages, 1 figure
arxiv created 2010/07/22 · openalex publication_date 2010/08/21 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Standard Model group and matter spectrum is obtained in vacua of F-theory, without resorting to an intermediate unification group. The group SU(3) x SU(2) x U(1)Y is the commutant to SU(5)t × U(1)Y structure group of a Higgs bundle in E8 and is geometrically realized as a deformation of I5 singularity. Lying along the unification groups of En, our vacua naturally inherit their unification structure. By modding SU(5)t out by Z4 monodromy group, we can distinguish Higgses from lepton doublets by matter parity. Turning on universal G-flux on this part, the spectrum contains three generations of quarks and leptons, as well as vectorlike pairs of electroweak and colored Higgses. Minimal Yukawa couplings is obtained at the renormalizable level.