Chiral fermions and the standard model from the matrix model compactifled on a torus

Progress of Theoretical Physics

Volumn 125, Issue 3, 2011, Pages 521-536

  Aoki, Hajime ^a  

^a SAGA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79955088370     PISSN: 0033068X     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTP.125.521     Document Type: Article

References (56)

1. T. Banks, W. Fischler, S. H. Shenker and L. Susskind, Phys. Rev. D 55 (1997), 5112, hep-th/9610043.
2. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, Nucl. Phys. B 498 (1997), 467, hep-th/9612115.
3. For a review: H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, A. Tsuchiya and T. Tada, Prog. Theor. Phys. Suppl. No. 134 (1999), 47, hep-th/9908038.
4. H. Aoki, S. Iso, H. Kawai, Y. Kitazawa and T. Tada, Prog. Theor. Phys. 99 (1998), 713, hep-th/9802085.
5. J. Nishimura and F. Sugino, J. High Energy Phys. 05 (2002), 001, hep-th/0111102.
6. H. Kawai, S. Kawamoto, T. Kuroki, T. Matsuo and S. Shinohara, Nucl. Phys. B 647 (2002), 153, hep-th/0204240.
7. H. Aoki, S. Iso, T. Maeda and K. Nagao, Phys. Rev. D 71 (2005), 045017, hep-th/0412052.
8. P. Aschieri, T. Grammatikopoulos, H. Steinacker and G. Zoupanos, J. High Energy Phys. 09 (2006), 026, hep-th/0606021.
9. H. Steinacker and G. Zoupanos, J. High Energy Phys. 09 (2007), 017, arXiv:0706.0398.
10. A. Chatzistavrakidis, H. Steinacker and G. Zoupanos, Fortschr. Phys. 58 (2010), 537, arXiv:0909.5559.
11. M. F. Atiyah and I. M. Singer, Ann. Math. 93 (1971), 139.
12. A. P. Balachandran, T. R. Govindarajan and B. Ydri, Mod. Phys. Lett. A 15 (2000), 1279, hep-th/9911087; hep-th/0006216.
13. J. Nishimura and M. A. Vazquez-Mozo, J. High Energy Phys. 08 (2001), 033, hepth/0107110.
14. H. Aoki, S. Iso and K. Nagao, Phys. Rev. D 67 (2003), 085005, hep-th/0209223.
15. P. H. Ginsparg and K. G. Wilson, Phys. Rev. D 25 (1982), 2649.
16. H. Neuberger, Phys. Lett. B 417 (1998), 141, hep-lat/9707022
17. Phys. Rv. D 57 (1998), 5417, hep-lat/9710089
18. Phys. Lett. B 427 (1998), 353, hep-lat/9801031.
19. M. Lüscher, Phys. Lett. B 428 (1998), 342, hep-lat/9802011.
20. P. Hasenfratz, Nucl. Phys. B (Proc. Suppl.) 63 (1998), 53, hep-lat/9709110.
21. P. Hasenfratz, V. Laliena and F. Niedermayer, Phys. Lett. B 427 (1998), 125, heplat/9801021.
22. F. Niedermayer, Nucl. Phys. B (Proc. Suppl.) 73 (1999), 105, hep-lat/9810026.
23. M. Lüscher, Nucl. Phys. B 549 (1999), 295, hep-lat/9811032.
24. H. Aoki, Phys. Rev. D 82 (2010), 085019, arXiv: 1007.4420.
25. W. Taylor, Phys. Lett. B 394 (1997), 283, hep-th/9611042.
26. A. Connes, M. R. Douglas and A. Schwarz, J. High Energy Phys. 02 (1998), 003, hepth/9711162.
27. A. P. Polychronakos, Phys. Lett. B 403 (1997), 239, hep-th/9703073.
28. N. Kitsunezaki and J. Nishimura, Nucl. Phys. B 526 (1998), 351, hep-th/9707162.
29. T. Tada and A. Tsuchiya, Prog. Theor. Phys. 103 (2000), 1069, hep-th/9903037.
30. J. Ambjorn, Y. M. Makeenko, J. Nishimura and R. J. Szabo, J. High Energy Phys. 11 (1999), 029, hep-th/9911041
31. Phys. Lett. B 480 (2000), 399, hep-th/0002158;
32. J. High Energy Phys. 05 (2000), 023, hep-th/0004147.
33. H. Aoki, J. Nishimura and Y. Susaki, J. High Energy Phys. 04 (2009), 055, arXiv:0810.5234.
34. H. Aoki, S. Iso and T. Suyama, Nucl. Phys. B 634 (2002), 71, hep-th/0203277.
35. A. Chatzistavrakidis, H. Steinacker and G. Zoupanos, J. High Energy Phys. 05 (2010), 100, arXiv:1002.2606.
36. H. Itoyama and A. Tokura, Prog. Theor. Phys. 99 (1998), 129, hep-th/9708123
37. Phys. Rev. D 58 (1998), 026002, hep-th/9801084.
38. H. Aoki, N. Ishibashi, S. Iso, H. Kawai, Y. Kitazawa and T. Tada, Nucl. Phys. B 565 (2000), 176, hep-th/9908141.
39. T. Eguchi and H. Kawai, Phys. R,ev. Lett. 48 (1982), 1063.
40. A. Gonzalez-Arroyo and M. Okawa, Phys. Lett. B 120 (1983), 174
41. Phys. Rev. D 27 (1983), 2397
42. S. Iso and K. Nagao, Prog. Theor. Phys. 109 (2003), 1017, hep-th/0212284.
43. H. Aoki, J. Nishimura and Y. Susaki, J. High Energy Phys. 02 (2007), 033, hep-th/0602078.
44. H. Aoki, J. Nishimura and Y. Susaki, J. High Energy Phys. 10 (2007), 024, hep-th/0604093.
45. H. Aoki, J. Nishimura and Y. Susaki, J. High Energy Phys. 09 (2009), 084, arXiv:0907.2107.
46. H. Aoki, S. Iso and K. Nagao, Nucl. Phys. B 684 (2004), 162, hep-th/0312199.
47. H. Aoki, S. Iso and T. Maeda, Phys. Rev. D 75 (2007), 085021, hep-th/0610125.
48. H. Aoki, Y. Hirayama and S. Iso, Phys. Rev. D 78 (2008), 025028, arXiv:0804.0568.
49. For a review: H. Aoki, Prog. Theor. Phys. Suppl. No. 171 (2007), 228, arXiv:0706.3078.
50. H. Aoki, Y. Hirayama and S. Iso, Phys. Rev. D 80 (2009), 125006, arXiv:0909.5252.
51. W. Bietenholz, F. Hofheinz and J. Nishimura, J. High Energy Phys. 09 (2002), 009, hepth/0203151.
52. H. Grosse, F. Lizzi and H. Steinacker, Phys. Rev. D 81 (2010), 085034, arXiv:1001.2703.
53. L. E. Ibanez, F. Marchesano and R. Rabadan, J. High Energy Phys. 11 (2001), 002, hep-th/0105155.
54. R. Blumenhagen, B. Kors, D. Lust and S. Stieberger, Phys. Rep. 445 (2007), 1, hepth/0610327.
55. M. Berkooz, M. R. Douglas and R. G. Leigh, Nucl. Phys. B 480 (1996), 265, hepth/9606139.
56. L. Susskind, hep-th/0302219.