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In F-theory, U(1) gauge symmetries are encoded in rational sections, which generate the Mordell-Weil group of the elliptic fibration of the compactification space.
L. Wolfenstein, Parametrization of the Kobayashi-Maskawa Matrix
1945
Earlier work this paper cites.
Pure and Applied Mathematics, Vol. 30. Academic Press, London-New York, 1969
L. J. Mordell, Diophantine equations · 1969
Earlier work this paper cites.
S. Weinberg, Electromagnetic and weak masses
1972
Earlier work this paper cites.
C. D. Froggatt and H. B. Nielsen, Hierarchy of Quark Masses, Cabibbo Angles and CP Violation
1979
Earlier work this paper cites.
A. Lahanas and D. Wyler, Radiative Fermion Masses and Supersymmetry
1983
Earlier work this paper cites.
J. E. Kim and H. P. Nilles, The mu Problem and the Strong CP Problem
1984
Earlier work this paper cites.
G. Giudice and A. Masiero, A Natural Solution to the mu Problem in Supergravity Theories
1988
Earlier work this paper cites.
L. E. Ibanez and G. G. Ross, Discrete gauge symmetries and the origin of baryon and lepton number conservation in supersymmetric versions of the standard model
1992
Earlier work this paper cites.
I. Hinchliffe and T. Kaeding, B+L violating couplings in the minimal supersymmetric Standard Model
1993
Earlier work this paper cites.
P. Ramond, R. Roberts, and G. G. Ross, Stitching the Yukawa quilt
1993
Earlier work this paper cites.
L. J. Hall and A. Rasin, On the generality of certain predictions for quark mixing
1993
Earlier work this paper cites.
L. E. Ibanez and G. G. Ross, Fermion masses and mixing angles from gauge symmetries
1994
Earlier work this paper cites.
Y. Nir, Gauge unification, Yukawa hierarchy and the mu problem
1995
Earlier work this paper cites.
E. Dudas, S. Pokorski, and C. A. Savoy, Yukawa matrices from a spontaneously broken Abelian symmetry
1995
Earlier work this paper cites.
Cambridge University Press, Cambridge, 1996
H. Baer and X. Tata, Weak Scale Supersymmetry · 1996
Earlier work this paper cites.
A. Y. Smirnov and F. Vissani, Large R-parity violating couplings and grand unification
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, Compactifications of F-Theory on Calabi–Yau Threefolds – II
1996
Earlier work this paper cites.
N. Haba, Composite model with neutrino large mixing
1999
Earlier work this paper cites.
N. Haba and H. Murayama, Anarchy and hierarchy
2001
Earlier work this paper cites.
H. K. Dreiner and M. Thormeier, Supersymmetric Froggatt-Nielsen models with baryon and lepton number violation
2004
Earlier work this paper cites.
K. S. Babu, T. Enkhbat, and I. Gogoladze, Anomalous U(1) symmetry and lepton flavor violation
2004
Earlier work this paper cites.
R. Barbier, C. Berat, M. Besancon, M. Chemtob, A. Deandrea, et. al
2005
Earlier work this paper cites.
S. Antusch, J. Kersten, M. Lindner, M. Ratz, and M. A. Schmidt, Running neutrino mass parameters in see-saw scenarios
2005
Earlier work this paper cites.
H. K. Dreiner, C. Luhn, and M. Thormeier, What is the discrete gauge symmetry of the MSSM?
2006
Earlier work this paper cites.
M. Buican, D. Malyshev, D. R. Morrison, H. Verlinde, and M. Wijnholt, D-branes at singularities, compactification, and hypercharge
2007
Earlier work this paper cites.
G. Ross and M. Serna, Unification and fermion mass structure
2008
Earlier work this paper cites.
C. Beasley, J. J. Heckman, and C. Vafa, GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
2009
Cited alongside, same era.
J. Marsano, N. Saulina, and S. Schafer-Nameki, Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
2009
Cited alongside, same era.
C. Beasley, J. J. Heckman, and C. Vafa, GUTs and Exceptional Branes in F-theory - I
2009
Cited alongside, same era.
H. Hayashi, T. Kawano, R. Tatar, and T. Watari, Codimension-3 Singularities and Yukawa Couplings in F-theory
2009
Cited alongside, same era.
A. Font and L. E. Ibanez, Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
2009
Cited alongside, same era.
R. Tatar, Y. Tsuchiya, and T. Watari, Right-handed Neutrinos in F-theory Compactifications
S. Katz, D. R. Morrison, S. Schafer-Nameki, and J. Sully, Tate’s algorithm and F-theory
2011
Later among the works it cites.
A. P. Braun, A. Collinucci, and R. Valandro, G-flux in F-theory and algebraic cycles
2012
Later among the works it cites.
D. R. Morrison and D. S. Park, F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
2012
Later among the works it cites.
C. Mayrhofer, E. Palti, and T. Weigand, U(1) symmetries in F-theory GUTs with multiple sections
2013
Later among the works it cites.
J. Borchmann, C. Mayrhofer, E. Palti, and T. Weigand, Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua
2013
Later among the works it cites.
M. Cvetic, D. Klevers, and H. Piragua, F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections
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2009
Cited alongside, same era.
J. Marsano, N. Saulina, and S. Schafer-Nameki, F-theory Compactifications for Supersymmetric GUTs
2009
Cited alongside, same era.
J. Marsano, N. Saulina, and S. Schafer-Nameki, Gauge Mediation in F-Theory GUT Models
2009
Cited alongside, same era.
T. W. Grimm and T. Weigand, On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
2010
Cited alongside, same era.
E. Dudas and E. Palti, On hypercharge flux and exotics in F-theory GUTs
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Cited alongside, same era.
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2010
Cited alongside, same era.
H. Hayashi, T. Kawano, Y. Tsuchiya, and T. Watari, More on Dimension-4 Proton Decay Problem in F-theory – Spectral Surface, Discriminant Locus and Monodromy
2010
Cited alongside, same era.
2013
Later among the works it cites.
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Later among the works it cites.
V. Braun, T. W. Grimm, and J. Keitel, New Global F-theory GUTs with U(1) symmetries
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Later among the works it cites.
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2013
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J. Marsano, H. Clemens, T. Pantev, S. Raby, and H.-H. Tseng, A Global SU(5) F-theory model with Wilson line breaking
2013
Later among the works it cites.
E. Palti, A Note on Hypercharge Flux, Anomalies, and U(1)s in F-theory GUTs
2013
Later among the works it cites.
A. Font, L. E. Ibanez, F. Marchesano, and D. Regalado, Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) Unification
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2014
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2014
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S. Krippendorf, D. K. Mayorga Pena, P.-K. Oehlmann, and F. Ruehle, Rational F-Theory GUTs without exotics
2014
Later among the works it cites.
A. P. Braun, A. Collinucci, and R. Valandro, Hypercharge flux in F-theory and the stable Sen limit
2014
Later among the works it cites.
Particle Data Group
2014
Later among the works it cites.
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