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Local SU(5) F-theory models lead naturally to Yukawa couplings for the third generation of quarks and leptons, but inducing Yukawas for the lighter generations has proven elusive.
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A. Font and L. E. Ibáñez, “Yukawa Structure from U(1) Fluxes in F-theory Grand Unification,”
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P. G. Cámara and F. Marchesano, “Open string wavefunctions in flux compactifications,”
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H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, “Flavor Structure in F-theory Compactifications,”
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J. J. Heckman and C. Vafa, “Flavor Hierarchy From F-theory,”
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E. Dudas and E. Palti, “Froggatt-Nielsen models from E(8) in F-theory GUTs,”
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2010
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J. P. Conlon and E. Palti, “Aspects of Flavour and Supersymmetry in F-theory GUTs,”
2010
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F. Marchesano and L. Martucci, “Non-perturbative effects on seven-brane Yukawa couplings,”
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2011
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M. Bianchi, A. Collinucci and L. Martucci, “Magnetized E3-brane instantons in F-theory,”
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S. Cecotti, C. Cordova, J. J. Heckman and C. Vafa, “T-Branes and monodromy,”
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For an overview of string phenomenology see L.E. Ibáñez and A.M. Uranga, String Theory and Particle Physics. An Introduction to String Phenomenology
2012
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E. Palti, “Wavefunctions and the Point of E 8 E_{8} in F-theory,”
2012
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2012
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2012
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M. Cvetic, R. Donagi, J. Halverson and J. Marsano, JHEP 1211
2012
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