Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-10-27
Nucl.Phys.B452:3-44,1995
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, Latex. Two references modified, few other unimportant changes
Scientific paper
10.1016/0550-3213(95)00282-W
Standard SUSY-GUTs such as those based on $SU(5)$ or $SO(10)$ lead to predictions for the values of $\alpha _s$ and $sin^2\theta _W$ in amazing agreement with experiment. In this article we investigate how these models may be obtained from string theory, thus bringing them into the only known consistent framework for quantum gravity. String models with matter in standard GUT representations require the realization of affine Lie algebras at higher levels. We start by describing some methods to build level $k=2$ orbifold string models with gauge groups $SU(5)$ or $SO(10)$. We present several examples and identify generic features of the type of models constructed. Chiral fields appropriate to break the symmetry down to the standard model generically appear in the massless spectrum. However, unlike in standard SUSY-GUTs, they often behave as string moduli, i.e., they do not have self-couplings. We also discuss briefly the doublet-triplet Higgs splitting. We find that, in some models, built-in sliding-singlet type of couplings exist.
Aldazabal Gerardo
Font Anamaria
Ibanez Luis E.
Uranga Angel M. .
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