Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
Abstract
The compactification from the elevendimensional HořavaWitten orbifold to fivedimensional heterotic Mtheory on a Schoen CalabiYau threefold is reviewed, as is the specific $SU(4)$ vector bundle leading to the "heterotic standard model" in the observable sector. Within the context of strongly coupled heterotic Mtheory, a formalism for consistent hiddensector bundles associated with a single line bundle is presented, and a specific line bundle is introduced as a concrete example. Anomaly cancellation and the associated bulk space fivebranes are discussed in this context, as is the constraint that the hidden sector bundle be compatible with the slopestability requirements of the observable sector $SU(4)$ gauge bundle. The further compactification to a fourdimensional effective theory on a linearized BPS double domain wall is then presented to order $\kappa_{11}^{4/3}$. Specifically, the generic constraints required for anomaly cancellation and the restrictions imposed by positive squared gauge couplings to order $\kappa_{11}^{4/3}$ are presented in detail. Three additional constraints are imposed, one guaranteeing that the $S^{1}/{\mathbb{Z}}_{2}$ orbifold length is sufficiently larger than the average CalabiYau radius, and two enforcing that the hidden sector be compatible with both the unification mass scale and unified gauge coupling of the $SO(10)$ group in the observable sector. Finally, the expression for the FayetIliopoulos term associated with an anomalous $U(1)$ symmetry is presented and its role in $N=1$ supersymmetry in the lowenergy effective theory is discussed. It is shown that $N=1$ supersymmetry can be preserved by cancelling the treelevel and genusone contributions against each another.
 Publication:

Fortschritte der Physik
 Pub Date:
 July 2021
 DOI:
 10.1002/prop.202100052
 arXiv:
 arXiv:2003.05455
 Bibcode:
 2021ForPh..6900052A
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 v4: typos and improved discussion of nonvanishing FI term