Gauge Coupling Unification in F-theory GUT Models
Ralph Blumenhagen

TL;DR
This paper explores how F-theory models can naturally achieve gauge coupling unification despite flux-induced splitting of gauge couplings, addressing a key challenge in string-inspired GUT theories.
Contribution
It demonstrates a mechanism within F-theory that preserves gauge coupling unification even with hypercharge flux breaking SU(5) GUTs.
Findings
F-theory can naturally evade gauge coupling splitting caused by hypercharge flux.
The model maintains unification at the string scale despite flux effects.
Provides a framework for consistent GUT model building in string theory.
Abstract
We investigate gauge coupling unification for F-theory respectively Type IIB orientifold constructions of SU(5) GUT theories with gauge symmetry breaking via non-trivial hypercharge flux. This flux has the non-trivial effect that it splits the values of the three MSSM gauge couplings at the string scale, thus potentially spoiling the celebrated one-loop gauge coupling unification. It is shown how F-theory can evade this problem in a natural way.
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