Ten explicit three-family supersymmetric Pati-Salam models from rigid intersecting D6-branes on factorizable rectangular tori; four of the ten are asymptotically free.
Realistic Yukawa Couplings through Instantons in Intersecting Brane Worlds
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abstract
The Yukawa couplings of the simpler models of D-branes on toroidal orientifolds suffer from the so-called ``rank one'' problem -- there is only a single non-zero mass and no mixing. We consider the one-loop contribution of E2-instantons to Yukawa couplings on intersecting D6-branes, and show that they can solve the rank one problem. In addition they have the potential to provide a geometric explanation for the hierarchies observed in the Yukawa coupling. In order to do this we provide the necessary quantities for instanton calculus in this class of background.
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Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles
Ten explicit three-family supersymmetric Pati-Salam models from rigid intersecting D6-branes on factorizable rectangular tori; four of the ten are asymptotically free.