Subject: Differential and Algebraic Geometry | QC770-798 | Gauge Symmetry | F-Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Superstring Vacua
F-theory/heterotic duality is formulated in the stable degeneration limit of a K3 fibration on the F-theory side. In this note, we analyze the structure of the stable degeneration limit. We discuss whether stable degeneration exists for pairs of rational elliptic surfac... View more
 C. Beasley, J.J. Heckman and C. Vafa, GUTs and exceptional branes in F-theory | I, JHEP  C. Beasley, J.J. Heckman and C. Vafa, GUTs and exceptional branes in F-theory | II: experimental predictions, JHEP 01 (2009) 059 [arXiv:0806.0102] [INSPIRE].
 R. Donagi and M. Wijnholt, Breaking GUT groups in F-theory, Adv. Theor. Math. Phys. 15  C. Vafa, Evidence for F-theory, Nucl. Phys. B 469 (1996) 403 [hep-th/9602022] [INSPIRE].
 D.R. Morrison and C. Vafa, Compacti cations of F-theory on Calabi-Yau threefolds. 1, Nucl.
 D.R. Morrison and C. Vafa, Compacti cations of F-theory on Calabi-Yau threefolds. 2, Nucl.
 A. Sen, F theory and orientifolds, Nucl. Phys. B 475 (1996) 562 [hep-th/9605150]  P.S. Aspinwall and D.R. Morrison, Point-like instantons on K3 orbifolds, Nucl. Phys. B 503  L.B. Anderson, J.J. Heckman and S. Katz, T-branes and geometry, JHEP 05 (2014) 080  A.P. Braun, Y. Kimura and T. Watari, The Noether-Lefschetz problem and gauge-group-resolved landscapes: F-theory on K3 K3 as a test case, JHEP 04 (2014) 050  K. Kodaira, On compact analytic surfaces III, Ann. Math. 78 (1963) 1.
 K. Becker and M. Becker, M theory on eight manifolds, Nucl. Phys. B 477 (1996) 155  S. Sethi, C. Vafa and E. Witten, Constraints on low dimensional string compacti cations, Nucl. Phys. B 480 (1996) 213 [hep-th/9606122] [INSPIRE].
 E. Witten, On ux quantization in M-theory and the e ective action, J. Geom. Phys. 22  S. Gukov, C. Vafa and E. Witten, CFT's from Calabi-Yau four folds, Nucl. Phys. B 584  K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G- ux, JHEP 08 (1999) groups of open K3 surfaces, Nagoya Math. J. 161 (2001) 23 [math/0007171].
 T. Shioda and H. Inose, On singular K3 surfaces, in Complex analysis and algebraic geometry, in W.L. Jr. Baily and T. Shioda eds., Iwanami Shoten, Tokyo Japan (1977).
 M. Bershadsky et al., Geometric singularities and enhanced gauge symmetries, Nucl. Phys. B  M. Schutt, Elliptic brations of some extremal K3 surfaces, Rocky Mount. J. Math. 37  M. Cvetic et al., F-theory vacua with Z3 gauge symmetry, Nucl. Phys. B 898 (2015) 736  L. Lin, C. Mayrhofer, O. Till and T. Weigand, Fluxes in F-theory compacti cations on genus-one brations, JHEP 01 (2016) 098 [arXiv:1508.00162] [INSPIRE].
 Y. Kimura, Gauge groups and matter spectra in F-theory compacti cations on genus-one  Y. Kimura, Discrete gauge groups in F-theory models on genus-one bered Calabi-Yau 4-folds  S. Kondo, Type II degenerations of K3 surfaces, Nagoya Math J. 99 (1985) 11.