Noncommutative geometry and matrix theory: Compactification on tori

Journal of High Energy Physics

Volumn 2, Issue 2, 1998, Pages

  Connes, Alain ^a   Douglas, Michael R ^a,b   Schwarz, Albert ^a,b,c  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^b RUTGERS UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Duality in Gauge Field Theories; Gauge Symmetry; M(atrix) Theories

Indexed keywords

EID: 0041524804     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (35)

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. W. Taylor, Phys. Lett. B 394 (1997) 283 [hep-th/9611042].
4. O. Ganor, S. Ramgoolam and W. Taylor, Nucl. Phys. B 492 (1997) 191 [hep-th/9611202].
5. T. Banks, Matrix Theory, hep-th/9710231.
6. B. de Wit, J. Hoppe and H. Nicolai, Nucl Phys. B 305 (1988) 545 [FS 23].
7. L. Susskind, hep-th/9704080.
8. A. Schwarz, in preparation.
9. M. Rozali, Phys. Lett. B 400 (1997) 260 [hep-th/9702136];
10. M. Berkooz, M. Rozali and N. Seiberg, Phys. Lett. B 408 (1997) 105 [hep-th/9704089].
11. A. Connes, C. R. Acad. Sci. Paris Sér. A-B 290 (1980) A599-A604;
12. M. Pimsner and D. Voiculescu, J. Operator Theory 4 (1980) 93-118;
13. A. Connes and M. Rieffel, Yang-Mills for noncommutative two-tori, in Operator Algebras and Mathematical Physics, Iowa City, Iowa, 1985, pp. 237-266;
14. Contemp. Math. Oper. Algebra. Math. Phys. 62, AMS 1987;
15. M. Rieffel, Protective modules over higher-dimensional non-commutative tori, Can. J. Math 40 (1988) 257-338.
16. A. Connes, Noncommutative Geometry, Academic Press, 1994.
17. M. Baake, P. Reinicke and V. Rittenberg, J. Math Phys. 26 (1985) 1070;
18. R. Flume, Ann. Phys. (NY) 164 (1985) 189;
19. M. Claudson and M. B. Halpern Nucl. Phys. B 250 (1985) 689 .
20. A. Tscytlin, Nucl. Phys. B 501 (1997) 41 [hep-th/9701125].
21. J. Hoppe, Phys. Lett. B 250 (1990) 44.
22. C. Zachos, D. Fairlie and T. Curtright, hep-th/9709042.
23. C. Klimčik, hep-th/9710153.
24. M. De Wilde and P. Lecomte, Lett. Math. Phys. 7 (1983) 487;
25. B. V. Fedosov, J. Diff. Geom. 40 (1994) 213; M. Kontsevich, q-alg/9709040.
26. A. Connes, Comm. Math. Phys. 182 (1996) 155 [hep-th/9603053].
27. E. Witten, Phys. Lett. B 86 (1979) 283.
28. P. K. Townsend, hep-th/9612121; to appear in Proceedings of the ICTP June 1996 summer school.
29. D. Freed, Locality and integration in topological field theory, in Group Theoretical Methods in Physics, Vol. 2, M.A. del Olmo, M. Santander and J. M. Guilarte eds., Ciemat, 1993, p. 35-54.
30. M. I. Caicedo, I. Martin and A. Restuccia, hep-th/9711122.
31. L. Susskind, hep-th/9611164.
32. C. Hull, private communication.
33. F. Hacquebord and H. Verlinde, Nucl. Phys. B 508 (1997) 609 [hep-th/9707179].
34. G. Moore, Finite in All Directions, hep-th/9305139.
35. D. Page, Phys. Rev. D 28 (1983) 2976.