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Local aspects of singular F-theory compactifications for SUSY GUT model-building are fairly well understood in terms of Higgs bundles and their spectral data.
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D. Tsimpis, Fivebrane instantons and Calabi-Yau fourfolds with flux
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2009
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J. Marsano, N. Saulina, and S. Schafer-Nameki, Gauge Mediation in F-Theory GUT Models
2009
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J. J. Heckman and C. Vafa, F-theory, GUTs, and the Weak Scale
2009
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R. Tatar, Y. Tsuchiya, and T. Watari, Right-handed Neutrinos in F-theory Compactifications
2009
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H. Hayashi, T. Kawano, R. Tatar, and T. Watari, Codimension-3 Singularities and Yukawa Couplings in F-theory
2009
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2010
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J. Marsano, N. Saulina, and S. Schafer-Nameki, An Instanton Toolbox for F-Theory Model Building
2010
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2010
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2010
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2010
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T. W. Grimm, S. Krause, and T. Weigand, F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds
2010
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B. Andreas and G. Curio, From Local to Global in F-Theory Model Building
2010
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J. Marsano, Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs
2011
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C. Ludeling, H. P. Nilles, and C. C. Stephan, The Potential Fate of Local Model Building
2011
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M. Cvetic, I. Garcia-Etxebarria, and J. Halverson, Global F-theory Models: Instantons and Gauge Dynamics
2011
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