Noncommutative differential calculus for a D-brane in a nonconstant B field background with H=0

Physical Review D

Volumn 64, Issue 12, 2001, Pages

  Ho, Pei Ming ^a   Miao, Shun Pei ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

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

EID: 0035893893     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.126002     Document Type: Article

References (34)

1. A. Connes, M.R. Douglas, and A. Schwarz, J. High Energy Phys. 02, 003 (1998);
2. C.-S. Chu and P.-M. Ho, Nucl. Phys. B550, 151 (1999);
3. C.-S. Chu and P.-M. Ho, Nucl. Phys. B568, 447 (2000);
4. V. Schomerus, J. High Energy Phys. 06, 030 (1999).
5. N. Seiberg and E. Witten, J. High Energy Phys. 09, 032 (1999).
6. P.-M. Ho and Y.-T. Yeh, Phys. Rev. Lett. 85, 5523 (2000).
7. L. Cornalba and R. Schiappa, "Nonassociative star product deformations for D-brane worldvolumes in curved backgrounds," hep-th/0101219.
8. A.Y. Alekseev, A. Recknagel, and V. Schomerus, J. High Energy Phys. 09, 023 (1999);
9. A.Y. Alekseev, A. Recknagel, and V. Schomerus, J. High Energy Phys. 05, 010 (2000).
10. M. Kontsevich, "Deformation quantization of Poisson manifolds, I," q-alg/9709040.
11. P.-M. Ho, "Making non-associative algebra associative," hep-th/0103024.
12. C.-S. Chu and P.-M. Ho, Int. J. Mod. Phys. A 12, 5573 (1997).
13. M. Li, Nucl. Phys. B499, 149 (1997).
14. J. Madore, S. Schraml, P. Schupp, and J. Wess, Eur. Phys. J. C 16, 161 (2000);
15. B. Jurco, P. Schupp, and J. Wess, Nucl. Phys. B584, 784 (2000).
16. B. Jurco, P. Schupp, and J. Wess, Nucl. Phys. B604, 148 (2001).
17. A. Connes, Noncommutative Geometry (Academic, New York, 1994).
18. A.S. Cattaneo and G. Felder, Commun. Math. Phys. 212, 591 (2000).
19. E.S. Fradkin and A.A. Tseytlin, Phys. Lett. 163B, 123 (1985).
20. R.G. Leigh, Mod. Phys. Lett. A 4, 2767 (1989).
21. L. Cornalba and R. Schiappa, Adv. Theor. Math. Phys. 4, 249 (2000);
22. L. Cornalba, Adv. Theor. Math. Phys. ibid. 4, 271 (2000);
23. J. High Energy Phys. 09, 017 (2000).
24. A.A. Tseytlin, Phys. Lett. B 202, 81 (1988).
25. O.D. Andreev and A.A. Tseytlin, Nucl. Phys. B311, 205 (1988).
26. O. Andreev, Phys. Lett. B 513, 207 (2001).
27. M.R. Douglas, Nucl. Phys. B (Proc. Suppl.) 68, 381 (1998);
28. M.R. Douglas, A. Kato, and H. Ooguri, Adv. Theor. Math. Phys. 1, 237 (1998).
29. See, for instance, B. Zumino, in Introduction to the Differential Geometry of Quantum Groups, edited by K. Schmudgen, Proceedings of the Xth IAMP Conference, Leipzig, 1991 (Springer-Verlag, Berlin, 1992), p. 20;
30. C. Chryssomalakos and B. Zumino, "Translations, integrals and Fourier transforms in the quantum plane," Report No. LBL-34803;
31. C.-S. Chu, P.-M. Ho, and B. Zumino, Z. Phys. C 70, 339 (1996).
32. N. Seiberg, J. High Energy Phys. 09, 003 (2000);
33. M. Kreuzer and J. Zhou, J. High Energy Phys. ibid. 01, 011 (2000).
34. C.G. Callan and J.M. Maldacena, Nucl. Phys. B513, 198 (1998).