SU(3)×SU(2)×U(1) vacua in F-theory

Nuclear Physics B

Volumn 842, Issue 1, 2011, Pages 1-32

  Choi, Kang Sin ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957021602     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2010.08.012     Document Type: Article

References (71)

1. Vafa C. Nucl. Phys. B 1996, 469:403. arxiv:hep-th/9602022.
2. Morrison D.R., Vafa C. Nucl. Phys. B 1996, 476:437. arxiv:hep-th/9603161.
3. Morrison D.R., Vafa C. Nucl. Phys. B 1996, 473:74. arxiv:hep-th/9602114.
4. Bershadsky M., Johansen A., Pantev T., Sadov V. Nucl. Phys. B 1997, 505:165. arxiv:hep-th/9701165.
5. Beasley C., Heckman J.J., Vafa C. JHEP 2009, 0901:058. arxiv:0802.3391.
6. Beasley C., Heckman J.J., Vafa C. JHEP 2009, 0901:059. arxiv:0806.0102.
7. Donagi R., Wijnholt M. arxiv:0802.2969.
8. Donagi R., Wijnholt M. arxiv:0808.2223.
9. Hayashi H., Tatar R., Toda Y., Watari T., Yamazaki M. Nucl. Phys. B 2009, 806:224. arxiv:0805.1057.
10. Hayashi H., Kawano T., Tatar R., Watari T. Nucl. Phys. B 2009, 823:47. arxiv:0901.4941.
11. Donagi R., Wijnholt M. arxiv:0904.1218.
12. Heckman J.J. For recent reviews. arxiv:1001.0577.
13. Blumenhagen R. arxiv:1002.2836.
14. Heckman J.J., Verlinde H. arxiv:1005.3033.
15. Heckman J.J., Vafa C. JHEP 2009, 0909:079. arxiv:0809.1098.
16. Andreas B., Curio G. arxiv:0902.4143.
17. Hayashi H., Kawano T., Tsuchiya Y., Watari T. arxiv:0910.2762.
18. Marsano J., Saulina N., Schafer-Nameki S. JHEP 2009, 0908:046. arxiv:0906.4672.
19. Blumenhagen R., Grimm T.W., Jurke B., Weigand T. Nucl. Phys. B 2010, 829:325. arxiv:0908.1784.
20. Kumar V., Morrison D.R., Taylor W. arxiv:0911.3393.
21. Chung Y.C. JHEP 2010, 1003:006. arxiv:0911.0427.
22. Heckman J.J., Shao J., Vafa C. arxiv:1001.4084.
23. Chen C.M., Knapp J., Kreuzer M., Mayrhofer C. arxiv:1005.5735.
24. Chen C.M., Chung Y.C. arxiv:1005.5728.
25. Li T., Maxin J.A., Nanopoulos D.V., Walker J.W. arxiv:1003.4186.
26. Blumenhagen R. Phys. Rev. Lett. 2009, 102:071601. arxiv:0812.0248.
27. Choi K.S., Kobayashi T. arxiv:1003.2126.
28. Katz S., Morrison D.R. J. Algebraic Geom. 1992, 1:449.
29. Choi K.S. JHEP 2010, 1002:004. arxiv:0910.2571.
30. P. Ramond, Introduction to exceptional lie groups and algebras, preprint CALT-68-577.
31. Bourjaily J.L. arxiv:0905.0142.
32. Choi K.S., Kobayashi T., Maruyama R., Murata M., Nakai Y., Ohki H., Sakai M. arxiv:0908.0395.
33. Kobayashi T., Maruyama R., Murata M., Ohki H., Sakai M. arxiv:1002.2828.
34. Heckman J.J., Tavanfar A., Vafa C. arxiv:0906.0581.
35. Sen A. Nucl. Phys. B 1996, 475:562. arxiv:hep-th/9605150.
36. Donagi R., He Y.H., Ovrut B.A., Reinbacher R. JHEP 2004, 0412:054. arxiv:hep-th/0405014.
37. Blumenhagen R., Moster S., Reinbacher R., Weigand T. JHEP 2007, 0705:041. arxiv:hep-th/0612039.
38. Blumenhagen R., Honecker G., Weigand T. JHEP 2005, 0506:020. arxiv:hep-th/0504232.
39. Nibbelink S.G., Trapletti M., Walter M. JHEP 2007, 0703:035. arxiv:hep-th/0701227.
40. Friedman R., Morgan J., Witten E. Commun. Math. Phys. 1997, 187:679. arxiv:hep-th/9701162.
41. Apostol Tom M. Modular Functions and Dirichlet Series in Number Theory. Graduate Texts in Mathematics 1990, vol. 41. Springer-Verlag, New York. 2nd ed.
42. Katz S.H., Vafa C. Nucl. Phys. B 1997, 497:146. arxiv:hep-th/9606086.
43. Tate J. Modular Functions of One Variable IV. Lecture Notes in Mathematics 1975, vol. 476. Springer, Berlin/Heidelberg, pp. 33-52.
44. Bershadsky M., Intriligator K.A., Kachru S., Morrison D.R., Sadov V., Vafa C. Nucl. Phys. B 1996, 481:215. arxiv:hep-th/9605200.
45. Aspinwall P.S., Gross M. Phys. Lett. B 1996, 387:735. arxiv:hep-th/9605131.
46. Conlon J.P., Palti E. JHEP 2010, 1001:029. arxiv:0910.2413.
47. Donagi R. Asian J. Math. 1997, 1:214.
48. Choi K.S. Phys. Rev. D 2006, 74:066002.
49. Choi K.S. Int. J. Mod. Phys. A 2007, 22:3169. arxiv:hep-th/0610026.
50. Dudas E., Palti E. arxiv:1007.1297.
51. King S.F., Leontaris G.K., Ross G.G. arxiv:1005.1025.
52. Abel S.A., Owen A.W. Nucl. Phys. B 2004, 682:183. arxiv:hep-th/0310257.
53. Choi K.S., Kobayashi T. Nucl. Phys. B 2008, 797:295. arxiv:0711.4894.
54. Font A., Ibanez L.E. JHEP 2009, 0909:036. arxiv:0907.4895.
55. Cecotti S., Cheng M.C.N., Heckman J.J., Vafa C. arxiv:0910.0477.
56. Conlon J.P., Palti E. JHEP 2010, 1001:029. arxiv:0910.2413.
57. Marchesano F., Martucci L. Phys. Rev. Lett. 2010, 104:231601. arxiv:0910.5496.
58. Cvetic M., Halverson J., Richter R. JHEP 2009, 0912:063. arxiv:0905.3379.
59. Abe H., Choi K.S., Kobayashi T., Ohki H. JHEP 2009, 0906:080. arxiv:0903.3800.
60. Choi K.S., Hwang K., Kim J.E. Nucl. Phys. B 2003, 662:476. arxiv:hep-th/0304243.
61. Sadov V. Phys. Lett. B 1996, 388:45. arxiv:hep-th/9606008.
62. Curio G. Phys. Lett. B 1998, 435:39. arxiv:hep-th/9803224.
63. Hayashi H., Kawano T., Tsuchiya Y., Watari T. arxiv:1004.3870.
64. Grimm T.W., Weigand T. arxiv:1006.0226.
65. Marsano J., Saulina N., Schafer-Nameki S. arxiv:1006.0483.
66. Abe H., Choi K.S., Kobayashi T., Ohki H. Phys. Rev. D 2009, 80:126006. arxiv:0907.5274.
67. Abe H., Choi K.S., Kobayashi T., Ohki H. arxiv:1001.1788.
68. Collinucci A. JHEP 2010, 1004:076. arxiv:0906.0003.
69. Andreas B., Curio G. Adv. Theor. Math. Phys. 1999, 3:1325. arxiv:hep-th/9908193.
70. Distler J., Sharpe E. arxiv:hep-th/0701244.
71. Ambroso M., Ovrut B.A. Int. J. Mod. Phys. A 2010, 25:2631. arxiv:0910.1129.