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Several dimensionful parameters needed for model building can be engineered in a certain class of SU(5) F-theory GUTs by adding extra singlet fields which are localized along pairwise intersections of D7-branes.
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O. J. Ganor, A note on zeroes of superpotentials in F-theory
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D. Lust, S. Reffert, W. Schulgin, and P. K. Tripathy, Fermion zero modes in the presence of fluxes and a non-perturbative superpotential
2006
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D. Tsimpis, Fivebrane instantons and Calabi-Yau fourfolds with flux
2007
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M. Ibe and R. Kitano, Sweet Spot Supersymmetry
2007
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R. Blumenhagen, M. Cvetic, and T. Weigand, Spacetime instanton corrections in 4D string vacua - the seesaw mechanism for D-brane models
2007
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L. E. Ibanez and A. M. Uranga, Neutrino Majorana masses from string theory instanton effects
2007
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R. Argurio, M. Bertolini, S. Franco, and S. Kachru, Metastable vacua and D-branes at the conifold
2007
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S. Antusch, L. E. Ibanez, and T. Macri, Neutrino Masses and Mixings from String Theory Instantons
2007
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O. Aharony and S. Kachru, Stringy Instantons and Cascading Quivers
2007
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O. Aharony, S. Kachru, and E. Silverstein, Simple Stringy Dynamical SUSY Breaking
2007
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M. Aganagic, C. Beem, and S. Kachru, Geometric Transitions and Dynamical SUSY Breaking
2008
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M. Buican, D. Malyshev, D. R. Morrison, H. Verlinde, and M. Wijnholt, D-branes at singularities, compactification, and hypercharge
2007
Cited alongside, same era.
M. Cvetic, R. Richter, and T. Weigand, Computation of D-brane instanton induced superpotential couplings - Majorana masses from string theory
2007
Cited alongside, same era.
R. Donagi and M. Wijnholt, Model Building with F-Theory
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C. Beasley, J. J. Heckman, and C. Vafa, GUTs and Exceptional Branes in F-theory - I
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H. Hayashi, R. Tatar, Y. Toda, T. Watari, and M. Yamazaki, New Aspects of Heterotic–F Theory Duality
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2008
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D. Shih, Spontaneous R-symmetry breaking in O’Raifeartaigh models
2008
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