Abelian Gauge Fluxes and Local Models in F-Theory
Abstract
We analyze the Abelian gauge fluxes in local F-theory models with GS=SU(6) and SO(10). For the case of GS=SO(10), there is a no-go theorem which states that for an exotic-free spectrum, there are no solutions for U(1)2 gauge fluxes. We explicitly construct the U(1)2 gauge fluxes with an exotic-free bulk spectrum for the case of GS=SU(6). We also analyze the conditions for the curves supporting the given field content and discuss non-minimal spectra of the MSSM with doublet-triplet splitting.
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