Stabilising the supersymmetric Standard Model on the Z_6' orientifold

Details Stabilising the supersymmetric Standard Model on the Z_6' orientifold Stabilising the supersymmetric Standard Model on the Z_6' orientifold

2011-04-18

arxiv.org/abs/1104.3522v3

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, LaTeX. Small addition made prior to submission for publication

Scientific paper

Four stacks of intersecting supersymmetric fractional D6-branes on the Z_6' orientifold have previously been used to construct consistent models having the spectrum of the supersymmetric Standard Model, including a single pair of Higgs doublets, plus three right-chiral neutrino singlets. However, various moduli, Kahler moduli and complex-structure moduli, twisted and untwisted, remain unfixed. Further, some of the Yukawa couplings needed to generated quark and lepton masses are forbidden by a residual global symmetry of the model. In this paper we study the stabilisation of moduli using background fluxes, and show that the moduli may be stabilised within the Kahler cone. In principle, missing Yukawa couplings may be restored, albeit with a coupling that is suppressed by non-perturbative effects, by the use Euclidean D2-branes that are pointlike in spacetime, i.e. E2-instantons. However, for the models under investigation, we show that this is not possible.

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