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Flavor Hierarchy From F-theory

Heckman, Jonathan J., Vafa, Cumrun

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It has recently been shown that F-theory based constructions provide a potentially promising avenue for engineering GUT models which descend to the MSSM.

In this note we show that in the presence of background fluxes, these models automatically achieve hierarchical Yukawa matrices in the quark and lepton sectors.
At leading order, the existence of a U(1) symmetry which is related to phase rotations of the internal holomorphic coordinates at the brane intersection point leads to rank one Yukawa matrices.
Subleading corrections to the internal wave functions from variations in the background fluxes generate small violations of this U(1), leading to hierarchical Yukawa structures reminiscent of the Froggatt-Nielsen mechanism.

Flavor Hierarchy From F-theory · Around

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