Built on

C. Vafa, “Evidence for F theory,” Nucl. Phys. B 469
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, “Compactifications of F theory on Calabi-Yau threefolds. 1,” Nucl. Phys. B 473
1996
Earlier work this paper cites.
S. H. Katz and C. Vafa, “Matter from geometry,” Nucl. Phys. B 497
1997
Earlier work this paper cites.
B. Andreas and G. Curio, “On discrete twist and four flux in N=1 heterotic / F theory compactifications,” Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
G. Aldazabal, L. E. Ibanez, F. Quevedo and A. M. Uranga, “D-branes at singularities: A Bottom up approach to the string embedding of the standard model,” JHEP 0008
2000
Earlier work this paper cites.
S. H. Katz and E. Sharpe, “D-branes, open string vertex operators, and Ext groups,” Adv. Theor. Math. Phys. 6
2003
Earlier work this paper cites.
R. Tatar and T. Watari, “Proton decay, Yukawa couplings and underlying gauge symmetry in string theory,” Nucl. Phys. B 747
2006
Earlier work this paper cites.
L. E. Ibanez and G. G. Ross, “Discrete gauge symmetry anomalies,” Phys. Lett. B 260
2006
Earlier work this paper cites.
R. Blumenhagen, M. Cvetic, D. Lust, R. Richter, 2 and T. Weigand, “Non-perturbative Yukawa Couplings from String Instantons,” Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
C. Beasley, J. J. Heckman, C. Vafa, “GUTs and Exceptional Branes in F-theory - II: Experimental Predictions,” JHEP 0901
Original
2009
Earlier work this paper cites.

Similar

J. Marsano, N. Saulina and S. Schafer-Nameki, “F-theory Compactifications for Supersymmetric GUTs,” JHEP 0908
Original
2009
Cited alongside, same era.
H. Hayashi, T. Kawano, R. Tatar and T. Watari, “Codimension-3 Singularities and Yukawa Couplings in F-theory,” Nucl. Phys. B 823
Original
2009
Cited alongside, same era.
R. Tatar and T. Watari, “GUT Relations from String Theory Compactifications,” Nucl. Phys. B 810
Original
2009
Cited alongside, same era.
C. Beasley, J. J. Heckman, C. Vafa, “GUTs and Exceptional Branes in F-theory - I,” JHEP 0901
Original
2009
Cited alongside, same era.
H. Hayashi, R. Tatar, Y. Toda, T. Watari, M. Yamazaki, “New Aspects of Heterotic–F Theory Duality,” Nucl. Phys. B806

Then

H. Hayashi, T. Kawano, Y. Tsuchiya, T. Watari, “Flavor Structure in F-theory Compactifications,” JHEP 1008
Original
2010
Later among the works it cites.
J. J. Heckman and C. Vafa, “Flavor Hierarchy From F-theory,” Nucl. Phys. B 837
Original
2010
Later among the works it cites.
J. Marsano, N. Saulina and S. Schafer-Nameki, “Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs,” JHEP 0908
Original
2010
Later among the works it cites.
R. Blumenhagen, T. W. Grimm, B. Jurke and T. Weigand, “Global F-theory GUTs,” Nucl. Phys. B 829
Original
2010
Later among the works it cites.
H. Hayashi, T. Kawano, Y. Tsuchiya, T. Watari, “More on Dimension-4 Proton Decay Problem in F-theory – Spectral Surface, Discriminant Locus and Monodromy,” Nucl. Phys. B840

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2011

Constraints on GUT 7-brane Topology in F-theory

Hayashi, Hirotaka, Kawano, Teruhiko, Watari, Taizan

Understand

We study the relation between phenomenological requirements and the topology of the surfaces that GUT 7-branes wrap in F-theory compactifications.

In addition to the exotic matter free condition in the hypercharge flux scenario of SU(5)_{GUT} breaking, we analyze a new condition that comes from a discrete symmetry aligning the contributions to low-energy Yukawa matrices from a number of codimension-three singularity points.
We see that the exotic matter free condition excludes Hirzebruch surfaces (except ${\mathbb F}_0$) as the GUT surface, correcting an existing proof in the literature.
We further find that the discrete symmetry for the alignment of the Yukawa matrices excludes del Pezzo surfaces and a rational elliptic surface as the GUT surface.

Built on

C. Vafa, “Evidence for F theory,” Nucl. Phys. B 469
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, “Compactifications of F theory on Calabi-Yau threefolds. 1,” Nucl. Phys. B 473
1996
Earlier work this paper cites.
S. H. Katz and C. Vafa, “Matter from geometry,” Nucl. Phys. B 497
1997
Earlier work this paper cites.
B. Andreas and G. Curio, “On discrete twist and four flux in N=1 heterotic / F theory compactifications,” Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
G. Aldazabal, L. E. Ibanez, F. Quevedo and A. M. Uranga, “D-branes at singularities: A Bottom up approach to the string embedding of the standard model,” JHEP 0008
2000
Earlier work this paper cites.
S. H. Katz and E. Sharpe, “D-branes, open string vertex operators, and Ext groups,” Adv. Theor. Math. Phys. 6
2003
Earlier work this paper cites.
R. Tatar and T. Watari, “Proton decay, Yukawa couplings and underlying gauge symmetry in string theory,” Nucl. Phys. B 747
2006
Earlier work this paper cites.
L. E. Ibanez and G. G. Ross, “Discrete gauge symmetry anomalies,” Phys. Lett. B 260
2006
Earlier work this paper cites.
R. Blumenhagen, M. Cvetic, D. Lust, R. Richter, 2 and T. Weigand, “Non-perturbative Yukawa Couplings from String Instantons,” Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
C. Beasley, J. J. Heckman, C. Vafa, “GUTs and Exceptional Branes in F-theory - II: Experimental Predictions,” JHEP 0901
Original
2009
Earlier work this paper cites.