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F-theory is one of the frameworks where all the Yukawa couplings of grand unified theories are generated and their computation is possible.
E. M. Wright, J. London Math. Soc. 10
1940
Earlier work this paper cites.
M. S. Narasimhan, C. S. Seshadri, “Deformations of the Moduli Space of Vector Bundles over an Algebraic Curve,” Ann. of Math. (2) 82
1965
Earlier work this paper cites.
S. Donaldson, “Anti-selfdual Yang-Mills Connections on Complex Algebraic Surfaces and Stable Bundles,” Proc. London Math. Soc. (3) 3
1984
Earlier work this paper cites.
K. Uhlenbeck, S.-T. Yau, “On the Existence of Hermitian Yang-Mills Connections on Stable Bundles over Compact Complex K a ¨ \ddot{a} hler Manifolds,” Comm. Pure App. Math. 39
1986
Earlier work this paper cites.
N. Hitchin, “The Self-duality Equations on a Riemann Surface,” Proc. London Math. Soc. (3) 55
1987
Earlier work this paper cites.
N. Hitchin, “Stable Bundles and Integrable Systems,” Duke Math. J. 54
1987
Earlier work this paper cites.
A. Beauville, M. S. Narasimhan and S. Ramanan, “Spectral curves and the generalized theta divisor,” J. reine angew. Math. 398
1987
Earlier work this paper cites.
S. Katz and D. R. Morrison, “Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups,” J. Alg. Geom. 1
1992
Earlier work this paper cites.
J. Wess and J. Bagger, “Supersymmetry and Supergravity,” Princeton U. Press, 1992
1992
Earlier work this paper cites.
D. R. Morrison and C. Vafa, “Compactifications of F-Theory on Calabi–Yau Threefolds – I,” Nucl. Phys. B 473
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, “Compactifications of F-Theory on Calabi–Yau Threefolds – II,” Nucl. Phys. B 476
1996
Earlier work this paper cites.
M. Bershadsky, K. A. Intriligator, S. Kachru, D. R. Morrison, V. Sadov and C. Vafa, “Geometric singularities and enhanced gauge symmetries,” Nucl. Phys. B 481
1996
Earlier work this paper cites.
A. Sen, “F-theory and Orientifolds,” Nucl. Phys. B 475
1996
Earlier work this paper cites.
C. Vafa, “Evidence for F-Theory,” Nucl. Phys. B 469
1996
Cited alongside, same era.
S. H. Katz and C. Vafa, “Matter from geometry,” Nucl. Phys. B 497
1997
Cited alongside, same era.
M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, “On four-dimensional compactifications of F-theory,” Nucl. Phys. B 505
1997
Cited alongside, same era.
R. Friedman, J. Morgan and E. Witten, “Vector bundles and F theory,” Commun. Math. Phys. 187
1997
Cited alongside, same era.
R. Donagi, ”Principal bundles on elliptic fibrations,” Asian J. Math 1
1997
Cited alongside, same era.
G. Curio, “Chiral matter and transitions in heterotic string models,” Phys. Lett. B 435
1998
Cited alongside, same era.
S. H. Katz and E. Sharpe, “D-branes, open string vertex operators, and Ext groups,” Adv. Theor. Math. Phys. 6
2003
Later among the works it cites.
T. Pantev, “Higgs bundles and D-branes,” at KITP Miniprogram: Geometry, Topology, and Strings, 2003. available at http://online.kitp.ucsb.edu/online/mp03/pantev1/
2003
Later among the works it cites.
T. Watari and T. Yanagida, “Product-group unification in type IIB string thoery,” Phys. Rev. D 70
2004
Later among the works it cites.
R. Donagi, Y. H. He, B. A. Ovrut and R. Reinbacher, “The particle spectrum of heterotic compactifications,” JHEP 0412
2004
Later among the works it cites.
R. Donagi, S. Katz and E. Sharpe, “Spectra of D-branes with Higgs vevs,” Adv. Theor. Math. Phys. 8
2005
Later among the works it cites.
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D. E. Diaconescu and G. Ionesei, “Spectral covers, charged matter and bundle cohomology,” JHEP 9812
1998
Cited alongside, same era.
G. Curio and R. Y. Donagi, “Moduli in N = 1 heterotic/F-theory duality,” Nucl. Phys. B 518
1998
Cited alongside, same era.
M. R. Gaberdiel and B. Zwiebach, “Exceptional groups from open strings,” Nucl. Phys. B 518
1998
Cited alongside, same era.
G. Rajesh, “Toric geometry and F-theory/heterotic duality in four dimensions,” JHEP 9812
1998
Cited alongside, same era.
S. Katz, P. Mayr and C. Vafa, “Mirror symmetry and exact solution of 4D N = 2 gauge theories. I,” Adv. Theor. Math. Phys. 1
1999
Cited alongside, same era.
B. Andreas and G. Curio, “On discrete twist and four-flux in N = 1 heterotic/F-theory compactifications,” Adv. Theor. Math. Phys. 3
1999
Cited alongside, same era.
R. Tatar and T. Watari, “Proton decay, Yukawa couplings and underlying gauge symmetry in string theory,” Nucl. Phys. B 747
2006
Later among the works it cites.
M. Buican, D. Malyshev, D. R. Morrison, H. Verlinde and M. Wijnholt, “D-branes at singularities, compactification, and hypercharge,” JHEP 0701
2007
Later among the works it cites.
R. Blumenhagen, S. Moster, R. Reinbacher and T. Weigand, “Massless spectra of three generation U(N) heterotic string vacua,” JHEP 0705
2007
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2007
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2008
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2009
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