On the string coupling in a class of stringy orbifold GUTs
arXiv:0808.0992
Abstract
In this short note, we examine the relationship between the string coupling constant, $\gstring{}$, and the grand unified gauge coupling constant, $\alphagut{}$, in a highly successful class of models based on anisotropic orbifold compactifications of the weakly coupled heterotic string. These models represent a stringy embedding of SU(6) gauge-Higgs unification in a five dimensional orbifold GUT. We find that the requirement that the theory be perturbative provides a non-trivial constraint on these models. Interestingly, there is a correlation between the proton decay rate (due to dimension six operators) and the string coupling constant. Finally, we make some comments concerning the extension of these models to the six (and higher) dimensional case.
10 pages, 1 figure
References in corpus (2)
Cited by in corpus (5)
- Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
- SU(6) GUT Breaking on a Projective Plane
- A Realistic Unified Gauge Coupling from the Micro-Landscape of Orbifold GUTs
- Local Grand Unification in the Heterotic Landscape
- Gauge Coupling Unification in Heterotic String Models with Gauge Mediated SUSY Breaking