Twisted bundle on quantum torus and BPS states in matrix theory

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 434, Issue 1-2, 1998, Pages 41-47

  Ho, Pei Ming ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346462789     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(98)00740-0     Document Type: Article

References (30)

1. A. Connes, M.R. Douglas, A. Schwarz, Noncommutative Geometry and Matrix Theory: Compactification on Tori, hep-th/9711162.
2. M.R. Douglas, C. Hull, D-branes and Noncommutative Torus, hep-th/9711165.
3. L. Susskind, Another Conjecture About M(atrix) Theory, hep-th/9704080.
4. P.-M. Ho, Y.-Y. Wu, Y.-S. Wu, Towards a Noncommutative Geometric Approach To Matrix Compactification, hep-th/9712201.
5. P.-M. Ho, Y.-S. Wu, Noncommutative Gauge Theories in Matrix Theory, hep-th/9801147.
6. M. Li, Comments on Supersymmetric Yang-Mills Theory on a Noncommutative Torus, hep-th/9802052.
7. 4 and (2,0) Superconformal Six-Dimensional Theory, hep-th/9802068; M. Berkooz, Nonlocal Field Theories and the Noncommutative Torus, hep-th/9802069; Y.-K.E. Cheung, M. Krogh, Noncommutative Geometry From 0-Branes in a Background B Field, hep-th/9803031; F. Ardalan, H. Arfaei, M.M. Sheikh-Jabbari, Mixed Branes and M(atrix) Theory on Noncommutative Torus, hep-th/9803067.
8. 4 and (2,0) Superconformal Six-Dimensional Theory, hep- th/9802068; M. Berkooz, Nonlocal Field Theories and the Noncommutative Torus, hep-th/9802069; Y.-K.E. Cheung, M. Krogh, Noncommutative Geometry From 0-Branes in a Background B Field, hep-th/9803031; F. Ardalan, H. Arfaei, M.M. Sheikh-Jabbari, Mixed Branes and M(atrix) Theory on Noncommutative Torus, hep-th/9803067.
9. 4 and (2,0) Superconformal Six-Dimensional Theory, hep- th/9802068; M. Berkooz, Nonlocal Field Theories and the Noncommutative Torus, hep-th/9802069; Y.-K.E. Cheung, M. Krogh, Noncommutative Geometry From 0-Branes in a Background B Field, hep-th/9803031; F. Ardalan, H. Arfaei, M.M. Sheikh-Jabbari, Mixed Branes and M(atrix) Theory on Noncommutative Torus, hep-th/9803067.
10. 4 and (2,0) Superconformal Six-Dimensional Theory, hep- th/9802068; M. Berkooz, Nonlocal Field Theories and the Noncommutative Torus, hep-th/9802069; Y.-K.E. Cheung, M. Krogh, Noncommutative Geometry From 0-Branes in a Background B Field, hep-th/9803031; F. Ardalan, H. Arfaei, M.M. Sheikh-Jabbari, Mixed Branes and M(atrix) Theory on Noncommutative Torus, hep-th/9803067.
11. A. Connes, Noncommutative Geometry, Academic Press, 1994.
12. A. Connes, C.R. Acad. Sci. Paris S'er. A-B 290 (1980) A599; M. Pimsner, D. Voiculescu, J. Operator Theory 4 (1980) 93; A. Connes, M.A. Rieffel, Yang-Mills for noncommutative two-tori, in: Operator Algebras and Mathematical Physics, Iowa City, Iowa, 1985, pp. 237-266, Contemp. Math. Oper. Algebra. Math. Phys. 62, AMS 1987; M.A. Rieffel, Can. J. Math. 40 (1988) 257; Contemp. Math. 105 (1990) 191.
13. A. Connes, C.R. Acad. Sci. Paris S'er. A-B 290 (1980) A599; M. Pimsner, D. Voiculescu, J. Operator Theory 4 (1980) 93; A. Connes, M.A. Rieffel, Yang-Mills for noncommutative two-tori, in: Operator Algebras and Mathematical Physics, Iowa City, Iowa, 1985, pp. 237-266, Contemp. Math. Oper. Algebra. Math. Phys. 62, AMS 1987; M.A. Rieffel, Can. J. Math. 40 (1988) 257; Contemp. Math. 105 (1990) 191.
14. A. Connes, C.R. Acad. Sci. Paris S'er. A-B 290 (1980) A599; M. Pimsner, D. Voiculescu, J. Operator Theory 4 (1980) 93; A. Connes, M.A. Rieffel, Yang-Mills for noncommutative two-tori, in: Operator Algebras and Mathematical Physics, Iowa City, Iowa, 1985, pp. 237-266, Contemp. Math. Oper. Algebra. Math. Phys. 62, AMS 1987; M.A. Rieffel, Can. J. Math. 40 (1988) 257; Contemp. Math. 105 (1990) 191.
15. A. Connes, C.R. Acad. Sci. Paris S'er. A-B 290 (1980) A599; M. Pimsner, D. Voiculescu, J. Operator Theory 4 (1980) 93; A. Connes, M.A. Rieffel, Yang-Mills for noncommutative two-tori, in: Operator Algebras and Mathematical Physics, Iowa City, Iowa, 1985, pp. 237-266, Contemp. Math. Oper. Algebra. Math. Phys. 62, AMS 1987; M.A. Rieffel, Can. J. Math. 40 (1988) 257; Contemp. Math. 105 (1990) 191.
16. A. Connes, C.R. Acad. Sci. Paris S'er. A-B 290 (1980) A599; M. Pimsner, D. Voiculescu, J. Operator Theory 4 (1980) 93; A. Connes, M.A. Rieffel, Yang-Mills for noncommutative two-tori, in: Operator Algebras and Mathematical Physics, Iowa City, Iowa, 1985, pp. 237-266, Contemp. Math. Oper. Algebra. Math. Phys. 62, AMS 1987; M.A. Rieffel, Can. J. Math. 40 (1988) 257; Contemp. Math. 105 (1990) 191.
17. A. Connes, C.R. Acad. Sci. Paris S'er. A-B 290 (1980) A599; M. Pimsner, D. Voiculescu, J. Operator Theory 4 (1980) 93; A. Connes, M.A. Rieffel, Yang-Mills for noncommutative two-tori, in: Operator Algebras and Mathematical Physics, Iowa City, Iowa, 1985, pp. 237-266, Contemp. Math. Oper. Algebra. Math. Phys. 62, AMS 1987; M.A. Rieffel, Can. J. Math. 40 (1988) 257; Contemp. Math. 105 (1990) 191.
18. F. Hacquebord, H. Verlinde, Nucl. Phys. B 508 (1997) 609, hep-th/9707179.
19. W. Taylor IV, Phys. Lett. B 394 (1997) 283, hep-th/9611042.
20. O.J. Ganor, S. Ramgoolam, W. Taylor IV, Nucl. Phys. B 492 (1997) 191, hep-th/9611202.
21. P.-M. Ho, Y.-S. Wu, Phys. Lett. B 398 (1997) 251, hep-th/9611233.
22. R. Dijkgraaf, E. Verlinde, H. Verlinde, Nucl. Phys. B 500 (1997) 43, hep-th/9703030.
23. E. Witten, Nucl. Phys. B 460 (1996) 335, hep-th/9510135.
24. P.-M. Ho, Y.-S. Wu, Phys. Rev. D 57 (1998) 2571, hep-th/9703016.
25. M.R. Douglas, H. Ooguri, Why Matrix Theory Is Hard, hep-th/9710178.
26. S. Hellerman, J. Polchinski, Compactification in the Light-like Limit, hep-th/9711037.
27. T. Banks, N. Seiberg, S. Shenker, Nucl. Phys. B 490 (1997) 91, hept-th/9612157.
28. J.H. Schwarz, Phys. Lett. B 360 (1995) 13; B 364 (1995) 252 (E).
29. J.H. Schwarz, Phys. Lett. B 360 (1995) 13; B 364 (1995) 252 (E).
30. N. Seiberg, Phys. Rev. Lett. 79 (1997) 3577, hep-th/9710009.