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We study the physics of F-theory compactifications on genus-one fibrations without section by using an M-theory dual description.
1929
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D. R. Morrison and W. Taylor, Classifying bases for 6D F-theory models
1943
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B. Smyth, Differential Geometry of Complex Hypersurfaces
1967
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K. Yano and S. Ishihara, Normal circle bundles of complex hypersurfaces
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M. B. Green and J. H. Schwarz, Anomaly Cancellation in Supersymmetric D=10 Gauge Theory and Superstring Theory
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T. Shioda, Mordell-Weil lattices and Galois representation, I
1989
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B. R. Greene, A. D. Shapere, C. Vafa, and S.-T. Yau, Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds
1990
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T. Shioda, On the Mordell-Weil lattices
1990
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A. Sagnotti, A Note on the Green-Schwarz mechanism in open string theories
1992
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K. Oguiso, On algebraic fiber space structures on a calabi-yau 3-fold
1993
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A. Strominger, Massless black holes and conifolds in string theory
1995
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B. R. Greene, D. R. Morrison, and A. Strominger, Black hole condensation and the unification of string vacua
1995
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C. Vafa, Evidence for F theory
1996
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E. Witten, Nonperturbative superpotentials in string theory
1996
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M. Bershadsky, K. A. Intriligator, S. Kachru, D. R. Morrison, V. Sadov, et. al
1996
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V. Sadov, Generalized Green-Schwarz mechanism in F theory
1996
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E. Witten, Phase transitions in M theory and F theory
1996
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A. Strominger, S.-T. Yau, and E. Zaslow, Mirror symmetry is T duality
1996
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D. R. Morrison and C. Vafa, Compactifications of F theory on Calabi-Yau threefolds. 1
1996
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P. Candelas and A. Font, Duality between the webs of heterotic and type II vacua
1998
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S. Chiossi and S. Salamon, The intrinsic torsion of SU(3) and G_2 structures
2002
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V. Bouchard and H. Skarke, Affine Kac-Moody algebras, CHL strings and the classification of tops
2003
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2012
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T. W. Grimm and H. Hayashi, F-theory fluxes, Chirality and Chern-Simons theories
2012
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D. R. Morrison and W. Taylor, Toric bases for 6D F-theory models
2012
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T. W. Grimm and W. Taylor, Structure in 6D and 4D N=1 supergravity theories from F-theory
2012
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C. Lawrie and S. Schäfer-Nameki, The Tate Form on Steroids: Resolution and Higher Codimension Fibers
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H. Jockers and J. Louis, The Effective action of D7-branes in N = 1 Calabi-Yau orientifolds
2005
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T. Mohaupt and F. Saueressig, Effective supergravity actions for conifold transitions
2005
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C. Beasley, J. J. Heckman, and C. Vafa, GUTs and Exceptional Branes in F-theory - I
2009
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H. Hayashi, R. Tatar, Y. Toda, T. Watari, and M. Yamazaki, New Aspects of Heterotic–F Theory Duality
2009
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2009
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T. W. Grimm and T. Weigand, On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
2010
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2013
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C. Mayrhofer, E. Palti, and T. Weigand, U(1) symmetries in F-theory GUTs with multiple sections
2013
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2013
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2013
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2013
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2013
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V. Braun, T. W. Grimm, and J. Keitel, New Global F-theory GUTs with U(1) symmetries
2013
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F. Bonetti, T. W. Grimm, and S. Hohenegger, One-loop Chern-Simons terms in five dimensions
2013
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2014
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J. Borchmann, C. Mayrhofer, E. Palti, and T. Weigand, SU(5) Tops with Multiple U(1)s in F-theory
2014
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2014
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The Sage Development Team, 2014
W. Stein et. al · 2014
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