2010

Global SO(10) F-theory GUTs

Chen, Ching-Ming, Knapp, Johanna, Kreuzer, Maximilian et al.

Understand

Making use of toric geometry we construct a class of global F-theory GUT models.

The base manifolds are blowups of Fano threefolds and the Calabi-Yau fourfold is a complete intersection of two hypersurfaces.
We identify possible GUT divisors and construct SO(10) models on them using the spectral cover construction.
We use a split spectral cover to generate chiral matter on the 10 curves in order to get more degrees of freedom in phenomenology.

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Similar

A. C. Avram, M. Kreuzer, M. Mandelberg, and H. Skarke, “Searching for K3 fibrations,” Nucl. Phys
1997
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S. H. Katz and C. Vafa, “Matter from geometry,” Nucl. Phys
1997
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M. Kreuzer and H. Skarke, “Calabi-Yau 4-folds and toric fibrations,” J. Geom. Phys
1998
Cited alongside, same era.
G. Curio, “Chiral matter and transitions in heterotic string models,” Phys. Lett
1998
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D.-E. Diaconescu and G. Ionesei, “Spectral covers, charged matter and bundle cohomology,” JHEP
1998
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M. Kreuzer and H. Skarke, “Reflexive polyhedra, weights and toric Calabi-Yau fibrations,” Rev. Math. Phys
2002
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2003
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M. Kreuzer and H. Skarke, “PALP: A Package for analyzing lattice polytopes with applications to toric geometry,” Comput. Phys. Commun
2004
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R. Donagi, Y.-H. He, B. A. Ovrut, and R. Reinbacher, “The particle spectrum of heterotic compactifications,” JHEP
2004
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A. Klemm, M. Kreuzer, E. Riegler, and E. Scheidegger, “Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections,” JHEP
2005
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R. Blumenhagen, S. Moster, R. Reinbacher, and T. Weigand, “Massless spectra of three generation U(N) heterotic string vacua,” JHEP
2007
Cited alongside, same era.
M. Kreuzer, “On the Statistics of Lattice Polytopes,” ArXiv e-prints
Original
2008
Cited alongside, same era.

Then

H. Hayashi, R. Tatar, Y. Toda, T. Watari, and M. Yamazaki, “New Aspects of Heterotic–F Theory Duality,” Nucl. Phys
Original
2009
Later among the works it cites.
H. Hayashi, T. Kawano, R. Tatar, and T. Watari, “Codimension-3 Singularities and Yukawa Couplings in F- theory,” Nucl. Phys
Original
2009
Later among the works it cites.
J. Marsano, N. Saulina, and S. Schafer-Nameki, “Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs,” JHEP
Original
2009
Later among the works it cites.
J. Marsano, N. Saulina, and S. Schafer-Nameki, “F-theory Compactifications for Supersymmetric GUTs,” JHEP
Original
2009
Later among the works it cites.
J. Jiang, T. Li, D. V. Nanopoulos, and D. Xie, “F-SU(5),” Phys. Lett
2009
Later among the works it cites.
R. Blumenhagen, V. Braun, T. W. Grimm, and T. Weigand, “GUTs in Type IIB Orientifold Compactifications,” Nucl. Phys
Original
2009
Later among the works it cites.
R. Blumenhagen, T. W. Grimm, B. Jurke, and T. Weigand, “Global F-theory GUTs,” Nucl. Phys
Original
2010
Closest in time.
C.-M. Chen and Y.-C. Chung, “A Note on Local GUT Models in F-Theory,” Nucl. Phys
Original
2010
Closest in time.
M. Kreuzer, “Toric Geometry and Calabi-Yau Compactifications,” Ukr. J. Phys
2010
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Y.-C. Chung, “Abelian Gauge Fluxes and Local Models in F-Theory,” JHEP
Original
2010
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J. Marsano, N. Saulina, and S. Schafer-Nameki, “An Instanton Toolbox for F-Theory Model Building,” JHEP
Original
2010
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M. Cvetic, I. Garcia-Etxebarria, and R. Richter, “Branes and instantons at angles and the F-theory lift of O(1) instantons,” AIP Conf. Proc
Original
2010
Closest in time.
T. W. Grimm, T.-W. Ha, A. Klemm, and D. Klevers, “Computing Brane and Flux Superpotentials in F-theory Compactifications,” JHEP
Original
2025
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