Abstract
Abstract A few 9D interpolating models with two parameters are constructed and the massless spectra are studied by considering compactification of heterotic strings on a twisted circle with a Wilson line. It is found that there are some conditions between radius $R$ and Wilson line $A$ under which the gauge symmetry is enhanced. In particular, when the gauge symmetry is enhanced to $SO(18)\times SO(14)$, the cosmological constant is exponentially suppressed. We also construct a non-supersymmetric string model that is tachyon-free in all regions of moduli space and whose gauge symmetry involves $E_8$.
Highlights
LHC experiments suggest that supersymmetry (SUSY) does not exist at low energy scale
We provide the interpolations between the ten-dimensional non-supersymmetric SO(16) × SO(16) heterotic string model and one of the ten-dimensional supersymmetric heterotic strings[27] as model M2
We have found some conditions between circle radius R and Wilson line A under which additional massless states are present
Summary
LHC experiments suggest that supersymmetry (SUSY) does not exist at low energy scale. While several methods to construct such models have been proposed[14, 15, 16, 17, 18, 19, 20, 21], in this paper, we try to construct non-supersymmetric heterotic models with a small cosmological constant by focusing on so-called interpolating models[6, 8, 9, 10]. If model M1 is supersymmetric and the Z2 action contains (−1)F where F is the spacetime fermion number, the compactification causes SUSY breaking and the nine-dimensional interpolating model and model M2 become non-supersymmetric. In order to generate cases with NF −NB = 0, we need to increase the number of adjustable parameters One such possibility is to compactify more dimensions. We instead consider nine-dimensional interpolating models with one more parameter by introducing a constant Wilson line background
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