An invariant action for noncommutative gravity in four dimensions

Journal of Mathematical Physics

Volumn 44, Issue 6, 2003, Pages 2534-2541

  Chamseddine, A H ^a  

^a AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037669372     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1572199     Document Type: Article

References (31)

1. A. Connes, M. R. Douglas, and A. Schwartz, J. High Energy Phys. 9802, 003 (1998).
2. N. Seiberg and E. Witten, J. High Energy Phys. 9909, 032 (1999).
3. R. Utiyama, Phys. Rev. 101, 1597 (1956).
4. T. W. B. Kibble, J. Math. Phys. 2, 212 (1961).
5. A. H. Chamseddine, G. Felder, and J. Fröhlich, Commun. Math. Phys. 155, 109 (1993); A. H. Chamseddine, J. Fröhlich, and O. Grandjean, J. Math. Phys. 36, 6255 (1995).
6. A. H. Chamseddine, G. Felder, and J. Fröhlich, Commun. Math. Phys. 155, 109 (1993); A. H. Chamseddine, J. Fröhlich, and O. Grandjean, J. Math. Phys. 36, 6255 (1995).
7. A. Connes, J. Math. Phys. 36, 6194 (1995).
8. A. Connes and M. Dubois-Violette, Commun. Math. Phys. 230, 539 (2002).
9. F. Ardalan, H. Arfai, M. R. Garousi, and A. Ghodsi, hep-th/0204117; Int. J. Mod. Phys. A (to be published).
10. F. Ardalan, H. Arfai, M. R. Garousi, and A. Ghodsi, hep-th/0204117; Int. J. Mod. Phys. A (to be published).
11. A. H. Chamseddine, Commun. Math. Phys. 218, 283 (2001).
12. Y. M. Cho, Phys. Rev. D 14, 3341 (1976).
13. A. H. Chamseddine and P. C. West, Nucl. Phys. B 129, 39 (1977).
14. D. Lovelock, J. Math. Phys. 12, 498 (1971).
15. P. van Niewenhuizen, M. Kaku, and P. Townsend, Phys. Rev. D 17, 3179 (1978).
16. L. Bonora, M. Schnabl, M. Sheikh-Jabbari, and A. Tomasiello, Nucl. Phys. B 589, 461 (2000).
17. B. Jurco, S. Schraml, P. Schupp, and J. Wess, Eur. Phys. J. C 17, 521 (2000).
18. A. H. Chamseddine, Phys. Lett. B 504, 33 (2001).
19. S. Cacciatori, A. H. Chamseddine, D. Klemm, L. Martucci, W. A. Sabra, and D. Zanon, Class. Quantum Grav. 19, 4029 (2002).
20. V. P. Nair, Nucl. Phys. B 651, 313 (2003).
21. S. Cacciatori, D. Klemm, L. Martucci, and D. Zanon, Phys. Lett. B 536, 101 (2002).
22. P. van Niewenhuizen, Phys. Rev. B 68, 189 (1981).
23. F. Mansouri, Phys. Rev. D 16, 2456 (1977).
24. A. H. Chamseddine, Ann. Phys. (N.Y.) 113, 219 (1978).
25. A. Einstein and E. Strauss, Ann. Math. 47, 731 (1946).
26. E. Schrödinger, Space-Time Structure (Cambridge University Press, Cambridge, MA, 1985).
27. H. Nishino and S. Rajpott, Phys. Lett. B 532, 334 (2002).
28. R. Jackiw and S.-Y. Pi, Phys. Rev. Lett. 88, 111603 (2002).
29. A. Connes and G. Landi, Commun. Math. Phys. 221, 141 (2001).
30. A. H. Chamseddine and J. Fröhlich, J. Math. Phys. 35, 5195 (1994).
31. A. P. Polychronakos, J. High Energy Phys. 0011, 008 (2000).