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We investigate the delicate interplay between the types of singular fibers in elliptic fibrations of Calabi-Yau threefolds (used to formulate F-theory) and the "matter" representation of the associated Lie algebra.
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E. Witten, String theory dynamics in various dimensions
1995
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P. S. Aspinwall, Enhanced gauge symmetries and K3 surfaces
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by same author, Log contractions and equidimensional models of elliptic threefolds
1995
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P. S. Aspinwall and M. Gross, The SO ( 32 ) {\rm SO}(32) heterotic string on a K 3 K3 surface
1996
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M. Bershadsky, K. Intriligator, S. Kachru, D. R. Morrison, V. Sadov, and C. Vafa, Geometric singularities and enhanced gauge symmetries
1996
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J. H. Schwarz, Anomaly-free supersymmetric models in six dimensions
1996
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2001
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P. Candelas, D.-E. Diaconescu, B. Florea, D. R. Morrison, and G. Rajesh, Codimension-three bundle singularities in F-theory
2002
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A. Grassi and D. R. Morrison, Group representations and the Euler characteristic of elliptically fibered Calabi–Yau threefolds
2003
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F. Denef, M. R. Douglas, B. Florea, A. Grassi, and S. Kachru, Fixing all moduli in a simple F-theory compactification
2005
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F. Denef, Lectures on constructing string vacua
2008
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by same author, A bound on 6D N=1 supergravities
2009
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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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V. Kumar, D. R. Morrison, and W. Taylor, Mapping 6D N = 1 supergravities to F-theory
2010
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by same author, Global aspects of the space of 6D N = 1 supergravities
2010
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J. J. Heckman, Particle physics implications of F-theory
2010
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S. Katz, D. R. Morrison, S. Schäfer-Nameki, and J. Sully, Tate’s algorithm and F-theory
2011
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D. R. Morrison and W. Taylor, Matter and singularities
2012
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