Tate Form and Weak Coupling Limits in F-theory

K. Kodaira, “On Compact Analytic Surfaces II,” Annals of Math, vol. 77, 1963,563-626

1963

Earlier work this paper cites.

A. Néron, Modèles Minimaux des Variétés Abeliennes sur les Corps Locaux et Globaux, Publ. Math. I.H.E.S. 21, 1964, 361-482

1964

Earlier work this paper cites.

J.T. Tate, “The Arithmetics of Elliptic Curves,” Inventiones math. 23, 170-206 (1974)

1974

Earlier work this paper cites.

R. Miranda, “Smooth Models for Elliptic Threefolds,” in: R. Friedman, D.R. Morrison (Eds.), The Birational Geometry of Degenerations, Progress in Mathe-matics 29, Birkhauser, 1983, 85-133

1983

Earlier work this paper cites.

C. Vafa, “Evidence for F theory,” Nucl. Phys. B 469

1996

Earlier work this paper cites.

D. R. Morrison, C. Vafa, “Compactifications of F theory on Calabi-Yau threefolds. 1,” Nucl. Phys. B473

1996

Earlier work this paper cites.

M. Bershadsky, K. A. Intriligator, S. Kachru, D. R. Morrison, V. Sadov, C. Vafa, “Geometric singularities and enhanced gauge symmetries,” Nucl. Phys. B481

1996

Earlier work this paper cites.

A. Sen, “F theory and orientifolds,” Nucl. Phys. B 475

1996

Earlier work this paper cites.

R. Friedman, J. Morgan and E. Witten, “Vector bundles and F theory,” Commun. Math. Phys. 187

1997

Earlier work this paper cites.

A. Sen, “Orientifold limit of F theory vacua,” Phys. Rev. D55

1997

Earlier work this paper cites.

A. Johansen, “A Comment on BPS states in F theory in eight-dimensions,” Phys. Lett. B 395

1997

Earlier work this paper cites.

A. Klemm, B. Lian, S. S. Roan, S. -T. Yau, “Calabi-Yau fourfolds for M theory and F theory compactifications,” Nucl. Phys. B518

1998

Earlier work this paper cites.

M. R. Gaberdiel and B. Zwiebach, “Exceptional groups from open strings,” Nucl. Phys. B 518

1998

Earlier work this paper cites.

S. Cynk, T. Szemberg”, “ Double covers and Calabi-Yau varieties, Singularities Symposium–Lojasiewicz 70 (Kraków, 1996; Warsaw, 1996), 93–101, Banach Center Publ., 44, Polish Acad. Sci., Warsaw, 1998

1998

Earlier work this paper cites.

P. Aluffi, M. Esole, “Chern class identities from tadpole matching in type IIB and F-theory,”JHEP 0903

Original

2009

Cited alongside, same era.

A. Collinucci, F. Denef, M. Esole, “D-brane Deconstructions in IIB Orientifolds,” JHEP 0902

Original

2009

Cited alongside, same era.

R. Blumenhagen, T. W. Grimm, B. Jurke and T. Weigand, “F-theory uplifts and GUTs,” JHEP 0909

Original

2009

Cited alongside, same era.

C. Beasley, J. J. Heckman and C. Vafa, “GUTs and Exceptional Branes in F-theory - I,” JHEP 0901

Original

2009

Cited alongside, same era.

C. Beasley, J. J. Heckman and C. Vafa, “GUTs and Exceptional Branes in F-theory - II: Experimental Predictions,” JHEP 0901

Original

T. W. Grimm, S. Krause and T. Weigand, “F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds,” JHEP 1007

Original

2010

Later among the works it cites.

T. Weigand, “Lectures on F-theory compactifications and model building,” Class. Quant. Grav. 27

Original

2010

Later among the works it cites.

L. Bonora and R. Savelli, “Non-simply-laced Lie algebras via F theory strings,” JHEP 1011

Original

2010

Later among the works it cites.

S. Katz, D. R. Morrison, S. Schafer-Nameki and J. Sully, “Tate’s algorithm and F-theory,” JHEP 1108

Original

2011

Later among the works it cites.

M. Cvetic, I. Garcia-Etxebarria and J. Halverson, “Global F-theory Models: Instantons and Gauge Dynamics,” JHEP 1101