Abstract
We investigate the structure of the moduli space of 9D heterotic interpolating models with a complete set of Wilson line backgrounds and a radius parameter by computing the one-loop partition functions and the cosmological constants and by deriving the massless spectra, paying attention to the region a≈0 where supersymmetry is asymptotically restoring. We find some special planes and points in the moduli space where the gauge symmetry is enhanced and/or massless fermions appear. The gauge symmetry is maximally enhanced at the minima of the one-loop effective potential where the cosmological constant is negative.
Highlights
Evidence for supersymmetry in accessible energy scale has not been found according to the LHC experiment
The gauge symmetry is U(1)18 and all of the fermions are massive at generic points in the moduli space, we have found some special points where the gauge symmetry is enhanced to non-Abelian groups and some fermions are massless
We have evaluated the cosmological constants in the region a ≈ 0 as functions of moduli and analyze the stability of the Wilson lines
Summary
Evidence for supersymmetry in accessible energy scale has not been found according to the LHC experiment. It can be checked that the degrees of freedom of the coset (5) agree with those of the constant backgrounds AIi and Cji. At generic points in moduli space, the gauge symmetry is broken down to the product of Abelian groups since no massless vectors are sitting on the nonzero roots in the momentum lattice. We consider 9D heterotic interpolating models and the moduli space is 17-dimensional: a radius R and sixteen Wilson lines AI. 3, we construct more general 9D interpolating models with a complete set of Wilson lines and find some special planes and points in the moduli space where the additional massless states appear. In Appendix D, we expand the momentum lattices with Lorentzian signature (17, 1), which appear in the partition functions with sixteen Wilson lines These expansions are useful to identify the spectra of the string models
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