F-theory GUT vacua on compact Calabi-Yau fourfolds thomas

Journal of High Energy Physics

Volumn 2010, Issue 7, 2010, Pages

  Grimm, W ^a   Krause, Sven ^b   Weigand, Timo ^b  

^a UNIVERSITY OF BONN   (Germany)

^b INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

Author keywords

F theory; Intersecting branes models

Indexed keywords

EID: 77955011450     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2010)037     Document Type: Article

References (66)

1. C. Vafa, Evidence for F-theory, Nucl. Phys. B 469 (1996) 403 [hep-th/9602022].
2. R. Donagi and M. Wijnholt, Model Building with F-theory, arXiv:0802.2969.
3. C. Beasley, J. J. Heckman and C. Vafa, GUTs and Exceptional Branes in F-theory - I, JHEP 01 (2009) 058 [arXiv:0802.3391].
4. 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].
5. R. Donagi and M. Wijnholt, Breaking GUT Groups in F-theory, arXiv:0808.2223.
6. A. Collinucci, F. Denef and M. Esole, D-brane Deconstructions in IIB Orientifolds, JHEP 02 (2009) 005 [arXiv:0805.1573].
7. A. P. Braun, A. Hebecker and H. Triendl D7-Brane Motion from M-theory Cycles and Obstructions in the Weak Coupling Limit, Nucl. Phys. B 800 (2008) 298 [arXiv:0801.2163].
8. A. P. Braun, A. Hebecker, C. Lüdeling and R. Valandro, Fixing D7 Brane Positions by F-theory Fluxes, Nucl. Phys. B 815 (2009) 256 [arXiv:0811.2416].
9. T. W. Grimm, T.-W. Ha, A. Klemm and D. Klevers, Computing Brane and Flux Superpotentials in F-theory Compactifications, JHEP 04 (2010) 015 [arXiv:0909.2025].
10. M. Alim et al., Hints for Off-Shell Mirror Symmetry in type-II/F-theory Compactifications, arXiv:0909.1842.
11. A. P. Braun, S. Gerigk, A. Hebecker and H. Triendl, D7-Brane Moduli vs. F-theory Cycles in Elliptically Fibred Threefolds, Nucl. Phys. B 836 (2010) 1 [arXiv:0912.1596].
12. T. W. Grimm, T.-W. Ha, A. Klemm and D. Klevers, Five-Brane Superpotentials and Heterotic/F-theory Duality, arXiv:0912.3250.
13. H. Jockers, P. Mayr and J. Walcher, On N = 1 4D Effective Couplings for F-theory and Heterotic Vacua, arXiv:0912.3265.
14. H. Murayama and A. Pierce, Not even decoupling can save minimal supersymmetric SU (5), Phys. Rev. D 65 (2002) 055009 [hep-ph/0108104].
15. H. Hayashi, T. Kawano, R. Tatar and T. Watari, Codimension-3 Singularities and Yukawa Couplings in F-theory, Nucl. Phys. B 823 (2009) 47 [arXiv:0901.4941].
16. R. Blumenhagen, Gauge Coupling Unification in F-theory Grand Unified Theories, Phys. Rev. Lett. 102 (2009) 071601 [arXiv:0812.0248].
17. J. P. Conlon and E. Palti, On Gauge Threshold Corrections for Local IIB/F-theory GUTs, Phys. Rev. D 80 (2009) 106004 [arXiv:0907.1362].
18. R. Tatar, Y. Tsuchiya and T. Watari, Right-handed Neutrinos in F-theory Compactifications, Nucl. Phys. B 823 (2009) 1 [arXiv:0905.2289].
19. V. Bouchard, J. J. Heckman, J. Seo and C. Vafa, F-theory and Neutrinos: Kaluza-Klein Dilution of Flavor Hierarchy, JHEP 01 (2010) 061 [arXiv:0904.1419].
20. J. J. Heckman and C. Vafa, Flavor Hierarchy From F-theory, Nucl. Phys. B 837 (2010) 137 [arXiv:0811.2417].
21. L. Randall and D. Simmons-Duffin, Quark and Lepton Flavor Physics from F-theory, arXiv:0904.1584.
22. A. Font and L. E. Ibáñez, Matter wave functions and Yukawa couplings in F-theory Grand Unification, JHEP 09 (2009) 036 [arXiv:0907.4895].
23. J. J. Heckman, A. Tavanfar and C. Vafa, The Point of E8 in F-theory GUTs, arXiv:0906.0581.
24. S. Cecotti, M. C. N. Cheng, J. J. Heckman and C. Vafa, Yukawa Couplings in F-theory and Non-Commutative Geometry, arXiv:0910.0477.
25. H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, Flavor Structure in F-theory Compactifications, arXiv:0910.2762.
26. J. P. Conlon and E. Palti, Aspects of Flavour and Supersymmetry in F-theory GUTs, JHEP 01 (2010) 029 [arXiv:0910.2413].
27. E. Dudas and E. Palti, Froggatt-Nielsen models from E8 in F-theory GUTs, JHEP 01 (2010) 127 [arXiv:0912.0853].
28. F. Marchesano and L. Martucci, Non-perturbative effects on seven-brane Yukawa couplings, Phys. Rev. Lett. 104 (2010) 231601 [arXiv:0910.5496].
29. R. Blumenhagen, V. Braun, T. W. Grimm and T. Weigand, GUTs in Type IIB Orientifold Compactifications, Nucl. Phys. B 815 (2009) 1 [arXiv:0811.2936].
30. A. Collinucci, New F-theory lifts, JHEP 08 (2009) 076 [arXiv:0812.0175].
31. A. Collinucci, New F-theory lifts II: Permutation orientifolds and enhanced singularities, JHEP 04 (2010) 076 [arXiv:0906.0003].
32. R. Blumenhagen, T. W. Grimm, B. Jurke and T. Weigand, F-theory uplifts and GUTs, JHEP 09 (2009) 053 [arXiv:0906.0013].
33. R. Blumenhagen, T. W. Grimm, B. Jurke and T. Weigand, Global F-theory GUTs, Nucl. Phys. B 829 (2010) 325 [arXiv:0908.1784].
34. C. Cordova, Decoupling Gravity in F-theory, arXiv:0910.2955.
35. J. Marsano, N. Saulina and S. Schäfer-Nameki, F-theory Compactifications for Supersymmetric GUTs, JHEP 08 (2009) 030 [arXiv:0904.3932].
36. J. Marsano, N. Saulina and S. Schäfer-Nameki, Monodromies, Fluxes and Compact Three-Generation F-theory GUTs, JHEP 08 (2009) 046 [arXiv:0906.4672].
37. PQ, JHEP 04 (2010) 095 [arXiv:0912.0272].
38. H. Hayashi, R. Tatar, Y. Toda, T. Watari and M. Yamazaki, New Aspects of Heterotic-F Theory Duality, Nucl. Phys. B 806 (2009) 224 [arXiv:0805.1057].
39. R. Donagi and M. Wijnholt, Higgs Bundles and UV Completion in F-theory, arXiv:0904.1218.
40. R. Friedman, J. Morgan and E. Witten, Vector bundles and F-theory, Commun. Math. Phys. 187 (1997) 679 [hep-th/9701162].
41. R. Donagi, 'Principal bundles on elliptic fibrations, Asian J. Math. 1 (1997) 214 [alg-geom/9702002].
42. G. Curio and R. Y. Donagi, Moduli in N = 1 heterotic/F-theory duality, Nucl. Phys. B 518 (1998) 603 [hep-th/9801057].
43. B. Andreas and G. Curio, On discrete twist and four-flux in N = 1 heterotic/F-theory compactifications, Adv. Theor. Math. Phys. 3 (1999) 1325 [hep-th/9908193].
44. B. Andreas and G. Curio, From Local to Global in F-theory Model Building, J. Geom. Phys. 60 (2010) 1089 [arXiv:0902.4143].
45. S. Sethi, C. Vafa and E. Witten, Constraints on low-dimensional string compactifications, Nucl. Phys. B 480 (1996) 213 [hep-th/9606122].
46. 2 ≥ 2, Man. Math. 36 (1981) 147.
47. 2 ≥= 2, Adv. Stud. in Pure Math. 1 (1983) 101.
48. A. Klemm, B. Lian, S. S. Roan and S.-T. Yau, Calabi-Yau fourfolds for M-and F-theory compactifications, Nucl. Phys. B 518 (1998) 515 [hep-th/9701023].
49. A. Grassi, Divisors on elliptic Calabi-Yau four folds and the superpotential in F theory. 1, J. Geom. Phys. 28 (1998) 289 [alg-geom/9704008].
50. L. A. Borisov, Towards the Mirror Symmetry for Calabi-Yau Complete Intersections in Gorenstein Toric Fano Varieties, alg-geom/9310001.
51. V. V. Batyrev and L. A. Borisov, Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds, in Mirror Symmetry II, S.-T. Yau eds., AMS and International Press, New York U. S. A. (1994) [alg-geom/9402002].
52. V. V. Batyrev and L. A. Borisov, On Calabi-Yau complete intersections in toric varieties, alg-geom/9412017.
53. M. Kreuzer, E. Riegler and D. A. Sahakyan, Toric complete intersections and weighted projective space, J. Geom. Phys. 46 (2003) 159 [math/0103214].
54. A. Klemm, M. Kreuzer, E. Riegler and E. Scheidegger, Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections, JHEP 05 (2005) 023 [hep-th/0410018].
55. M. Kreuzer and H. Skarke, PALP: A Package for analyzing lattice polytopes with applications to toric geometry, Comput. Phys. Commun. 157 (2004) 87 [math/0204356].
56. J. Rambau, TOPCOM: Triangulations of Point Configurations and Oriented Matroids, in Mathematical Software-ICMS 2002, A. M. Cohen, X.-S. Gao and N. Takayama eds., World Scientific (2002), pp. 330-340.
57. H. Verlinde and M. Wijnholt, Building the Standard Model on a D3-brane, JHEP 01 (2007) 106 [hep-th/0508089].
58. M. Bershadsky et al., Geometric singularities and enhanced gauge symmetries, Nucl. Phys. B 481 (1996) 215 [hep-th/9605200].
59. R. Donagi, Y.-H. He, B. A. Ovrut and R. Reinbacher, The particle spectrum of heterotic compactifications, JHEP 12 (2004) 054 [hep-th/0405014].
60. R. Blumenhagen, S. Moster, R. Reinbacher and T. Weigand, Massless spectra of three generation U (N) heterotic string vacua, JHEP 05 (2007) 041 [hep-th/0612039].
61. B. Andreas and D. Hernandez Ruiperez, U (n) vector bundles on Calabi-Yau threefolds for string theory compactifications, Adv. Theor. Math. Phys. 9 (2005) 253 [hep-th/0410170].
62. G. K. Leontaris and N. D. Tracas, Gauge coupling flux thresholds, exotic matter and the unification scale in F - SU (5) GUT, Eur. Phys. J. C 67 (2010) 489 [arXiv:0912.1557].
63. D. A. Cox and S. Katz, Mirror symmetry and algebraic geometry, Mathematical Surveys and Monographs, vol. 68, American Mathematical Society, Providence USA (2000).
64. A. C. Avram, M. Kreuzer, M. Mandelberg and H. Skarke, Searching for K3 fibrations, Nucl. Phys. B 494 (1997) 567 [hep-th/9610154].
65. P. Candelas and A. Font, Duality between the webs of heterotic and type-II vacua, Nucl. Phys. B 511 (1998) 295 [hep-th/9603170].
66. P. Candelas, E. Perevalov and G. Rajesh, Toric geometry and enhanced gauge symmetry of F-theory/heterotic vacua, Nucl. Phys. B 507 (1997) 445 [hep-th/9704097].