Gauge coupling unification in SO(32) heterotic string theory with magnetic fluxes

摘要

We study $SO(32)$ heterotic string theory on a torus with magnetic fluxes. Non-vanishing fluxes can lead to non-universal gauge kinetic functions for $SU(3) imes SU(2) imes U(1)_Y$, which is an important feature of $SO(32)$ heterotic string theory in contrast to the $E_8 imes E_8$ theory. It is found that the experimental values of gauge couplings are realized with $mathcal {O}(1)$ values of moduli fields based on realistic models with the $SU(3) imes SU(2) imes U(1)_Y$ gauge symmetry and three chiral generations of quarks and leptons without chiral exotics.