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We present a systematic study of elliptic fibrations for F-theory realizations of gauge theories with two U(1) factors.
T. Nagell, Sur les propriétés arithmétiques des cubiques planes du premier genre
1929
Earlier work this paper cites.
M. Auslander and D. A. Buchsbaum, Unique factorization in regular local rings
1959
Earlier work this paper cites.
K. Kodaira, On compact complex analytic surfaces. I
1960
Earlier work this paper cites.
K. Kodaira, On compact analytic surfaces. II, III
1963
Earlier work this paper cites.
A. Néron, Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
1964
Earlier work this paper cites.
Springer, Berlin, 1975
J. Tate, Algorithm for determining the type of a singular fiber in an elliptic pencil · 1975
Earlier work this paper cites.
Springer, Berlin, 1975
P. Deligne, Courbes elliptiques: formulaire d’après J. Tate · 1975
Earlier work this paper cites.
Dottorato di Ricerca in Matematica. [Doctorate in Mathematical Research]. ETS Editrice, Pisa, 1989
R. Miranda, The basic theory of elliptic surfaces · 1989
Earlier work this paper cites.
T. Shioda, Mordell-Weil lattices and Galois representation. I
1989
Earlier work this paper cites.
Cambridge University Press, Cambridge, 1991
J. W. S. Cassels, Lectures on elliptic curves · 1991
Earlier work this paper cites.
Springer-Verlag, New York, 1994
J. H. Silverman, Advanced topics in the arithmetic of elliptic curves · 1994
Earlier work this paper cites.
C. Vafa, Evidence for F-Theory
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.
D. R. Morrison and C. Vafa, Compactifications of F-Theory on Calabi–Yau Threefolds – I
1996
Earlier work this paper cites.
M. Bershadsky, K. A. Intriligator, S. Kachru, D. R. Morrison, V. Sadov, et. al
1996
Earlier work this paper cites.
P. Candelas and A. Font, Duality between the webs of heterotic and type II vacua
1998
Earlier work this paper cites.
P. S. Aspinwall and D. R. Morrison, Nonsimply connected gauge groups and rational points on elliptic curves
1998
Earlier work this paper cites.
C. Beasley, J. J. Heckman, and C. Vafa, GUTs and Exceptional Branes in F-theory - I
2009
Earlier work this paper cites.
C. Beasley, J. J. Heckman, and C. Vafa, GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
2009
Earlier work this paper cites.
H. Hayashi, R. Tatar, Y. Toda, T. Watari, and M. Yamazaki, New Aspects of Heterotic–F Theory Duality
2009
Earlier work this paper cites.
J. Marsano, N. Saulina, and S. Schafer-Nameki, Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
2009
Earlier work this paper cites.
Springer, Dordrecht, second ed., 2009
J. H. Silverman, The arithmetic of elliptic curves · 2009
Earlier work this paper cites.
T. Weigand, Lectures on F-theory compactifications and model building
2010
Cited alongside, same era.
J. J. Heckman, Particle Physics Implications of F-theory
2010
Cited alongside, same era.
J. Marsano, N. Saulina, and S. Schafer-Nameki, Compact F-theory GUTs with U ( 1 ) P Q U(1)_{PQ}
2010
Cited alongside, same era.
E. Dudas and E. Palti, Froggatt-Nielsen models from E(8) in F-theory GUTs
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.
E. Dudas and E. Palti, On hypercharge flux and exotics in F-theory GUTs
2010
M. Berasaluce-Gonzalez, P. Camara, F. Marchesano, and A. Uranga, Zp charged branes in flux compactifications
2013
Later among the works it cites.
M. Cvetic, T. W. Grimm, and D. Klevers, Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
2013
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.
V. Braun, T. W. Grimm, and J. Keitel, New Global F-theory GUTs with U(1) symmetries
2013
Later among the works it cites.
2013
Later among the works it cites.
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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.
T. W. Grimm, S. Krause, and T. Weigand, F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds
2010
Cited alongside, same era.
R. Donagi and M. Wijnholt, Model Building with F-Theory
2011
Cited alongside, same era.
M. Berasaluce-Gonzalez, L. E. Ibanez, P. Soler, and A. M. Uranga, Discrete gauge symmetries in D-brane models
2011
Cited alongside, same era.
M. J. Dolan, J. Marsano, N. Saulina, and S. Schafer-Nameki, F-theory GUTs with U(1) Symmetries: Generalities and Survey
2011
Cited alongside, same era.
T. W. Grimm, M. Kerstan, E. Palti, and T. Weigand, Massive Abelian Gauge Symmetries and Fluxes in F-theory
2011
Cited alongside, same era.
M. Cvetic, D. Klevers, and H. Piragua, F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections
2013
Later among the works it cites.
V. Braun, T. W. Grimm, and J. Keitel, Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors
2013
Later among the works it cites.
M. Cvetic, D. Klevers, and H. Piragua, F-Theory Compactifications with Multiple U(1)-Factors: Addendum
2013
Later among the works it cites.
H. Hayashi, C. Lawrie, and S. Schafer-Nameki, Phases, Flops and F-theory: SU(5) Gauge Theories
2013
Later among the works it cites.
C. Lawrie and S. Schafer-Nameki, The Tate Form on Steroids: Resolution and Higher Codimension Fibers
2013
Later among the works it cites.
M. Esole and S.-T. Yau, Small resolutions of SU(5)-models in F-theory
2013
Later among the works it cites.
A. P. Braun and T. Watari, On Singular Fibres in F-Theory
2013
Later among the works it cites.
I. García-Etxebarria, T. W. Grimm, and J. Keitel, Yukawas and discrete symmetries in F-theory compactifications without section
2014
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R. Donagi and M. Wijnholt, Higgs Bundles and UV Completion in F-Theory
2014
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S. Krippendorf, D. K. Mayorga Pena, P.-K. Oehlmann, and F. Ruehle, Rational F-Theory GUTs without exotics
2014
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2014
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2014
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2014
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2014
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