Decoupling gravity in F-theory

Advances in Theoretical and Mathematical Physics

Volumn 15, Issue 3, 2011, Pages 689-740

  Córdova, Clay ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84864130496     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2011.v15.n3.a2     Document Type: Article

References (37)

1. B. Andreas and G. Curio, From local to global in F-theory model building, arXiv:hep-th:0902.4143.
2. C. Beasley, J. Heckman and C. Vafa, GUTs and exceptional branes in F-theory-I, arXiv:hep-th:0802.3391v1.
3. C. Beasley, J. Heckman and C. Vafa, GUTs and exceptional branes in F-theory-II, arXiv:hep-th:0806.0102v2.
4. M. Bershadsky, K. Intrilligator, S. Kachru, D. Morrison, V. Sadov and C. Vafa, Geometric singularities and enhanced gauge symmetries, arXiv:hep-th:9605200.
5. R. Blumenhagen, T. Grimm, B. Jurke and T. Weigand, F-theory uplifts and GUTs, arXiv:hep-th:0906.0013.
6. R. Blumenhagen, T. Grimm, B. Jurke and T. Weigand, Global F-theory GUTs, arXiv:hep-th:0908.1784.
7. V. Bouchard, J. Heckman, J. Seo and C. Vafa, F-theory and neutrinos: Kaluza-Klein dilution of flavor hierarchy, arXiv:hep-th:0904.1419.
8. J. Bourjaily, Effective field theories for local models in F-theory and M-theory, arXiv:hep-th:0905.0142.
9. S. Cutcosky, Elementary contractions of gorenstein threefolds, Math. Ann. 280 (3) (1988), 521-525.
10. R. Donagi and M. Wijnholt, Model building with F-theory, arXiv:hep-th:802.2969.
11. R. Donagi and M. Wijnholt, Higgs bundles and UV completion in F-theory, arXiv:hep-th:0904.1218v1.
12. A. Grassi, On minimal models of elliptic threefolds, Math. Ann. 290 (1991).
13. H. Grauert, Ueber Modifikationen und exzeptionelle analytische Mengen, Math. Ann. 146 (1962), 331-368.
14. P. Griffiths and J. Harris, Principles of algebraic geometry, John Wiley & Sons, Inc., New York, 1978.
15. J. Heckman, J. Marsano, N. Saulina, S. Shafer-Nameki and C. Vafa, Instantons and SUSY breaking in F-theory, arXiv:hep-th:0808.1286.
16. J. Heckman, A. Tavanfar, and C. Vafa, Cosmology of F-theory GUTs, arXiv:hep-th:0812.3155.
17. 8 in F-theory GUTs, arXiv:hep-th:0906.0581.
18. J. Heckman and C. Vafa, F-theory, GUTs, and the weak scale, arXiv:hep-th:0809.1098.
19. J. Heckman and C. Vafa, Flavor hierarchy from F-theory, arXiv:hep-th:0811.2417.
20. B. Holdom, W.S. Hou, T. Hurth. M.L. Mangano, S. Sultansoy and G. Unel, Four statements about the fourth generation, arXiv:hep-ph:0904.4698.
21. S. Katz and C. Vafa, Matter from geometry, arXiv:hep-th:9606086.
22. Y. Kawamata, The cone of curves of algebraic varieties, Ann. of Math. 119 (1984), 603-633.
23. J. Marsano, N. Saulina and S. Schäfer-Nameki, Gauge mediation in F-theory GUT models, arXiv:hep-th:0808.1571.
24. J. Marsano, N. Saulina and S. Schäafer-Nameki, F-theory compactifications for supersymmetric GUTs, arXiv:hep-th:0904.3932v2.
25. J. Marsano, N. Saulina and S. Schäafer-Nameki, Monodromies, fluxes, and compact three-generation F-theory GUTs, arXiv:hep-th:0906. 4672.
26. J. McKernan, private communication.
27. S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982), 133-176.
28. 2 ≥ 2, Manuscr. Math. 36 (1981), 147-162.
29. 2 ≥ 2, Manuscr. Math. 101 (2003), 407.
30. D. Morrison and C. Vafa, Compactification of F-theory on Calabi-Yau threefolds II, arXiv:hep-th:9603161v2.
31. A.N Parshin and I. Shafarevich (Eds.), Algebraic geometry V: Fano varieties, Springer, New York, NY, 1999.
32. V. Sadov, Generalized Green-Schwarz mechanism in F-theory, arXiv:hep-th:9606008.
33. A. Sen, F-theory and orientifolds, arXiv:hep-th:9605150.
34. C. Vafa, Evidence for F-theory, arXiv:hep-th:9602022v1.
35. P.M.H. Wilson, The Kähler cone on Calabi-Yau threefolds, Invent. Math. 107 (1992), 561-583.
36. E. Witten, Non-perturbative superpotentials in string-theory, arXiv: hep-th:9604030.
37. S.T. Yau, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampére equation I., Comm. Pure Appl. Math., 31 (1978), 339-411.