U(Black star sign)(1,1) noncommutative gauge theory as the foundation of two-time physics in field theory

Physical Review D

Volumn 64, Issue 12, 2001, Pages

  Bars, Itzhak ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; MATHEMATICS; MOTION; PHYSICS; THEORY;

EID: 0035893531     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.126001     Document Type: Article

References (57)

1. I. Bars, Class. Quantum Grav. 18, 3113 (2001).
2. I. Bars, C. Deliduman, and O. Andreev, Phys. Rev. D 58, 066004 (1998);
3. I. Bars, Phys. Rev. D 58, 066006 (1998); S. Vongehr, hep-th/9907077; I. Bars, hep-th/9809034;
4. Phys. Rev. D 59, 045019 (1999).
5. I. Bars and C. Deliduman, Phys. Rev. D 58, 106004 (1998).
6. I. Bars, C. Deliduman, and D. Minic, Phys. Rev. D 59, 125004 (1999);
7. Phys. Lett. B 457, 275 (1999);
8. I. Bars, Phys. Lett. B ibid. 483, 248 (2000);
9. 5 Supersymmetric Kaluza-Klein Towers as a 12-dimensional Theory in 2T-Physics," in preparation (partial results in [1]);
10. "A Toy M-model," in preparation [partial results in Phys. Lett. B 457, 275 (1999), and [1]].
11. I. Bars, C. Deliduman, and D. Minic, Phys. Lett. B 466, 135 (1999).
12. I. Bars, Phys. Rev. D 62, 085015 (2000).
13. I. Bars, Phys. Rev. D 62, 046007 (2000).
14. I. Bars and C. Deliduman, Phys. Rev. D 64, 045004 (2001).
15. I. Bars and S. J. Rey, Phys. Rev. D 64, 046005 (2001).
16. I. Bars, M. M. Sheikh-Jabbari, and M. A. Vasiliev, Phys. Rev. D 64, 086004 (2001).
17. M. A. Vasiliev, Int. J. Mod. Phys. D 5, 763 (1996);
18. "Higher spin gauge theories, star products and AdS space," hep-th/ 9910096.
19. H. Weyl, Z. Phys. 46, 1 (1927).
20. E. Wigner, Phys. Rev. 40, 749 (1932);
21. in Perspectives in Quantum Theory, edited by W. Yourgrau and A. van de Merwe (MIT, Cambridge, 1971).
22. J. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949).
23. M. Günaydin and B. Zumino, "Magnetic Charge And Nonassociative Algebras," in Pisa 1984 Proceedings, New and Old Problems in Fundamental Physics, LBL-19200.
24. C. Fronsdal, Phys. Rev. D 18, 3624 (1978).
25. J. Goldstone (unpublished);
26. J. Hoppe, Int. J. Mod. Phys. A 4, 5235 (1989);
27. J. Hoppe, MIT Ph.D. thesis, Elem. Part. Res. J. (Kyoto) 80, No. 3 (1989/1990).
28. D. B. Fairlie, P. Fletcher, and C. K. Zachos, Phys. Lett. B 218, 203 (1989);
29. D. B. Fairlie and C. K. Zachos, Phys. Lett. B ibid. 224, 101 (1990);
30. V. Arnold, Ann. Inst. Fourier 16(1), 319 (1966).
31. E. Floratos and J. Illiopoulos, Phys. Lett. B 201, 237 (1988);
32. E. Floratos, Phys. Lett. B ibid. 228, 335 (1989);
33. E. Floratos and S. Nicolis, J. Phys. A 31, 3961 (1998).
34. I. Bars, Phys. Lett. B 245, 35 (1990);
35. "Strings and matrix models on genus g Riemann surfaces," hep-th/9706177.
36. C. N. Pope and L. Romans, Class. Quantum Grav. 7, 97 (1990);
37. D. B. Fairlie and C. K. Zachos, J. Math. Phys. 31, 1088 (1990).
38. I. Bars, C. Pope, and E. Sezgin, Phys. Lett. B 210, 85 (1988).
39. B. de Wit, J. Hoppe, and H. Nicolai, Nucl. Phys. B305, 545 (1988).
40. L. Cornalba and R. Schiappa, Adv. Theor. Math. Phys. 4, 249 (2000).
41. G. 't Hooft, Commun. Math. Phys. 81, 267 (1981).
42. J. Hoppe, Phys. Lett. B 215, 706 (1988);
43. A. O. Morris, Bull. London Math. Soc. 7(2), 235 (1973).
44. P. A. M. Dirac, Ann. Math. 37, 429 (1936);
45. H. A. Kastrup, Phys. Rev. 150, 1183 (1966);
46. G. Mack and A. Salam, Ann. Phys. (N.Y.) 53, 174 (1969);
47. C. R. Preitschopf and M. A. Vasiliev, Nucl. Phys. B549, 450 (1999).
48. A. Yu. Segal, "Point particle in general background fields and generalized equivalence principle," hep-th/0008105;
49. "A Generating formulation for free higher spin massless fields," hep-th/0103028.
50. E. Sezgin and P. Sundell, "Doubletons and higher spin gauge theories," hep-th/0105001.
51. E. Witten, Nucl. Phys. B266, 245 (1986).
52. T. Banks, W. Fischler, S. H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997);
53. N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, Nucl. Phys. B498, 467 (1997).
54. I. Bars, Phys. Rev. D 55, 2373 (1997);
55. "Algebraic structure of S theory," hep-th/9608061.
56. P. West, J. High Energy Phys. 08, 007 (2000).
57. R. D'Auria, S. Ferrara, and M. A. Lledo, "On the embedding of space-time symmetries into simple superalgebras," hep-th/0102060.