Aspects of Flavour and Supersymmetry in F-theory GUTs

Understand

We study the constraints of supersymmetry on flavour in recently proposed models of F-theory GUTs.

• We relate the topologically twisted theory to the canonical presentation of eight-dimensional super Yang-Mills and provide a dictionary between the two.
• We describe the constraints on Yukawa couplings implied by holomorphy of the superpotential in the effective 4-dimensional supergravity theory, including the scaling with \alpha_{GUT}.
• Taking D-terms into account we solve explicitly to second order for wavefunctions and Yukawas due to metric and flux perturbations and find a rank-one Yukawa matrix with no subleading corrections.