The Chern-Simons one-form and gravity on a fuzzy space

Nuclear Physics B

Volumn 750, Issue 3, 2006, Pages 321-333

  Nair, V P ^a  

^a CITY COLLEGE OF NEW YORK   (United States)

Author keywords

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EID: 33746024328     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.06.009     Document Type: Article

References (75)

1. Connes A. Noncommutative Geometry (1994), Academic Press
2. Madore J. An Introduction to Noncommutative Geometry and its Physical Applications. LMS Lecture Notes vol. 206 (1995)
3. Landi G. An Introduction to Noncommutative Spaces and their Geometry. Lecture Notes in Physics vol. 51 (1997), Springer-Verlag
4. For a review of the matrix version of M-theory and its solutions, see. Taylor IV W. Rev. Mod. Phys. 73 (2001) 419
5. For a review of field theories on noncommutative spaces, see. Douglas M.R., and Nekrasov N.A. Rev. Mod. Phys. 73 (2001) 977
6. For a recent review of fuzzy spaces and theories defined on them, see. Balachandran A.P. Pramana 59 (2002) 359
7. Balachandran A.P., and Kurkcuoglu S. Int. J. Mod. Phys. A 19 (2004) 3395
8. Balachandran A.P., Kurkcuoglu S., and Vaidya S. hep-th/0511114
9. Balachandran A.P., Govindarajan T.R., and Ydri B. Mod. Phys. Lett. A 15 (2000) 1279
10. Balachandran A.P., Govindarajan T.R., and Ydri B. The fermion doubling problem and noncommutative geometry, II. hep-th/0006216
11. There are many papers on this. Berenstein D., Maldacena J.M., and Nastase H. JHEP 0204 (2002) 013 and citations to it can give a perspective on matrices and branes
12. Chamseddine A., Felder G., and Fröhlich J. Commun. Math. Phys. 155 (1993) 205
13. Kalau W., and Walze M. J. Geom. Phys. 16 (1995) 327
14. Kastler D. Commun. Math. Phys. 166 (1995) 633
15. Chamseddine A., and Connes A. Commun. Math. Phys. 186 (1997) 731
16. Chamseddine A.H. J. Math. Phys. 44 (2003) 2534
17. Cacciatori S., et al. Class. Quantum Grav. 19 (2002) 4029
18. Madore J. gr-qc/9709002
19. Banados M., et al. hep-th/0104264
20. Moffat J. hep-th/0007181
21. Moffat J. hep-th/0008089
22. Ho P.-M. Int. J. Mod. Phys. A 12 (1997) 923
23. Viet N.A., and Wali K.C. hep-th/0212062
24. Aschieri P., et al. hep-th/0504183
25. Aschieri P. hep-th/0510059
26. Balachandran A.P., Govindarajan T.R., Gupta K.S., and Kurkcuoglu S. hep-th/0602265
27. Castro C. Gen. Relaliv. Gravit. 36 (2004) 2605
28. C. Castro, The large N limit of exceptional Jordan matrix models and M, F theory, Clark Atlanta Univ. preprint
29. Nair V.P. Nucl. Phys. B 651 (2003) 313
30. Abe Y., and Nair V.P. Phys. Rev. D 68 (2003) 025002
31. This has been known for a while, for a recent review, see. Karabali D., Nair V.P., and Randjbar-Daemi R. In: Shifman M., Vainshtein A., and Wheater J. (Eds). From Fields to Strings: Circumnavigating Theoretical Physics, Ian Kogan Memorial Collection (2004), World Scientific 832-876
32. Zhang S.C., and Hu J.P. Science 294 (2001) 823
33. Hu J.P., and Zhang S.C. cond-mat/0112432
34. Karabali D., and Nair V.P. Nucl. Phys. B 641 (2002) 533
35. Karabali D., and Nair V.P. Nucl. Phys. B 679 (2004) 427
36. Karabali D., and Nair V.P. Nucl. Phys. B 697 (2004) 513
37. Fabinger M. JHEP 0205 (2002) 037
38. Chen Y.X., Hou B.Y., and Hou B.Y. Nucl. Phys. B 638 (2002) 220
39. Bernevig B.A., Chern C.H., Hu J.P., Toumbas N., and Zhang S.C. Ann. Phys. 300 (2002) 185
40. Kimura Y. Nucl. Phys. B 637 (2002) 177
41. Elvang H., and Polchinski J. hep-th/0209104
42. Chen Y.X. hep-th/0209182
43. Zhang S.C. Phys. Rev. Lett. 90 (2003) 196801
44. Bernevig B.A., Hu J.P., Toumbas N., and Zhang S.C. Phys. Rev. Lett. 91 (2003) 236803
45. Sparling G. cond-mat/0211679
46. Dolan B. hep-th/0304037
47. Meng G. cond-mat/0306351
48. Bellucci S., Casteill P., and Nersessian A. hep-th/0306277
49. Nair V.P., and Randjbar-Daemi S. Nucl. Phys. B 679 (2004) 447
50. Polychronakos A.P. Nucl. Phys. B 705 (2005) 457
51. Polychronakos A.P. Nucl. Phys. B 711 (2005) 505
52. Jellal A. Nucl. Phys. B 725 (2005) 554
53. Nair V.P. hep-th/0605007
54. Berenstein D. JHEP 0407 (2004) 018
55. Lin H., Lunin O., and Maldacena J. JHEP 0410 (2004) 025
56. Nair V.P., and Randjbar-Daemi S. Nucl. Phys. B 533 (1998) 333
57. Grosse H., and Strohmaier A. Lett. Math. Phys. 48 (1999) 163
58. Balachandran A.P., et al. J. Geom. Phys. 43 (2002) 184
59. Alexanian G., et al. J. Geom. Phys. 42 (2002) 28
60. Alexanian G., Pinzul A., and Stern A. Nucl. Phys. B 600 (2001) 531
61. Karabali D., Nair V.P., and Polychronakos A.P. Nucl. Phys. B 627 (2002) 565
62. Grosse H., and Steinacker H. Nucl. Phys. B 707 (2005) 145
63. Karabali D. Nucl. Phys. B 726 (2005) 407. hep-th/0605006
64. For recent reviews of Chern-Simons gravity, see. Zanelli J. Braz. J. Phys. 30 (2000) 251. hep-th/0502193
65. Troncoso R., and Zanelli J. Phys. Rev. D 58 (1998) 101703
66. Horava P. Phys. Rev. D 59 (1999) 046004
67. Nastase H. hep-th/0306269
68. Horava P., and Keeler C.A. hep-th/0508024
69. This is related to the description of gravity developed in. Mansouri F., and Chang L.N. Phys. Rev. D 13 (1976) 3192
70. MacDowell S., and Mansouri F. Phys. Rev. Lett. 38 (1977) 739
71. Mansouri F. Phys. Rev. D 16 (1977) 2456
72. Chamseddine A.H. Phys. Lett. B 233 (1989) 291
73. Chamseddine A.H. Nucl. Phys. B 346 (1990) 213
74. Witten E. Nucl. Phys. B 311 (1988) 46
75. Achucarro A., and Townsend P. Phys. Lett. B 180 (1986) 89