Abstract
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 αGUT. 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.
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ArXiv ePrint: 0910.2413
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Conlon, J.P., Palti, E. Aspects of flavour and supersymmetry in F-theory GUTs. J. High Energ. Phys. 2010, 29 (2010). https://doi.org/10.1007/JHEP01(2010)029
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DOI: https://doi.org/10.1007/JHEP01(2010)029