General covariance of the non-abelian DBI-action

Journal of High Energy Physics

Volumn 7, Issue 2, 2003, Pages 851-891

  De Boer, Jan ^a   Schalm, Koenraad ^b,c  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b NIKHEF   (Netherlands)

^c Columbia University ^*  (United States)

Author keywords

D branes; M(atrix) Theories; Non Commutative Geometry; Sigma Models

Indexed keywords

EID: 23044473724     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (54)

1. M.R. Douglas, D-branes and matrix theory in curved space, Nucl. Phys. 68 (Proc. Suppl.) (1998) 381 [hep-th/9707228].
2. E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135].
3. M.R. Douglas and C.M. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
4. R.C. Myers, Dielectric-branes, J. High Energy Phys. 12 (1999) 022 [hep-th/9910053].
5. Y. Okawa and H. Ooguri, How noncommutative gauge theories couple to gravity, Nucl. Phys. B 599 (2001) 55 [hep-th/0012218].
6. Y. Okawa and H. Ooguri, Energy-momentum tensors in matrix theory and in noncommutative gauge theories, hep-th/0103124.
7. M.R. Douglas, D-branes in curved space, Adv. Theor. Math. Phys. 1 (1998) 198 [hep-th/9703056];
8. M.R. Douglas, A. Kato and H. Ooguri, D-brane actions on Kähler manifolds, Adv. Theor. Math. Phys. 1 (1998) 237 [hep-th/9708012].
9. I.W. Taylor and M. Van Raamsdonk, Supergravity currents and linearized interactions for matrix theory configurations with fermionic backgrounds, J. High Energy Phys. 04 (1999) 013 [hep-th/9812239].
10. I.W. Taylor and M. Van Raamsdonk, Multiple d0-branes in weakly curved backgrounds, Nucl. Phys. B 558 (1999) 63 [hep-th/9904095];
11. Multiple Dp-branes in weak background fields, Nucl. Phys. B 573 (2000) 703 [hep-th/9910052].
12. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043];
13. N. Seiberg, Why is the matrix model correct?, Phys. Rev. Lett. 79 (1997) 3577 [hep-th/9710009];
14. n and matrix theory, Adv. Theor. Math. Phys. 2 (1998) 51 [hep-th/9709220].
15. H. Liu and J. Michelson, Supergravity couplings of noncommutative D-branes, Nucl. Phys. B 615 (2001) 169 [hep-th/0101016].
16. S.R. Das and S.P. Trivedi, Supergravity couplings to noncommutative branes, open wilson lines and generalized star products, J. High Energy Phys. 02 (2001) 046 [hep-th/0011131].
17. B. de Wit, K. Peeters and J. Plefka, Superspace geometry for supermembrane backgrounds, Nucl. Phys. B 532 (1998) 99 [hep-th/9803209].
18. D. Brecher and M.J. Perry, Bound states of D-branes and the non-abelian Born-Infeld action, Nucl. Phys. B 527 (1998) 121 [hep-th/9801127];
19. D. Brecher, BPS states of the non-abelian Born-Infeld action, Phys. Lett. B 442 (1998) 117 [hep-th/9804180];
20. A.A. Tseytlin, Born-Infeld action, supersymmetry and string theory, hep-th/9908105;
21. P. Bain, On the non-abelian Born-Infeld action, hep-th/9909154;
22. F. Denef, A. Sevrin and J. Troost, Non-abelian Born-Infeld versus string theory, Nucl. Phys. B 581 (2000) 135 [hep-th/0002180];
23. 6, Nucl. Phys. B 603 (2001) 389 [hep-th/0101192].
24. E.A. Bergshoeff, M. de Roo and A. Sevrin, Non-abelian Born-Infeld and kappa-symmetry, J. Math. Phys. 42 (2001) 2872 [hep-th/0011018].
25. M.R. Douglas and G.W. Moore, D-branes, quivers and ALE instantons, hep-th/9603167;
26. M.R. Douglas, B.R. Greene and D.R. Morrison, Orbifold resolution by D-branes, Nucl. Phys. B 506 (1997) 84 [hep-th/9704151];
27. M.R. Douglas and B.R. Greene, Metrics on D-brane orbifolds, Adv. Theor. Math. Phys. 1 (1998) 184 [hep-th/9707214];
28. D. Berenstein, R. Corrado and J. Distler, Aspects of ALE matrix models and twisted matrix strings, Phys. Rev. D 58 (1998) 026005 [hep-th/9712049];
29. S. Kachru, A.E. Lawrence and E. Silverstein, On the matrix description of Calabi-Yau compactifications, Phys. Rev. Lett. 80 (1998) 2996 [hep-th/9712223];
30. D. Berenstein and R. Corrado, Matrix theory on ale spaces and wrapped membranes, Nucl. Phys. B 529 (1998) 225 [hep-th/9803048];
31. K. Ray, A ricci-flat metric on D-brane orbifolds, Phys. Lett. B 433 (1998) 307 [hep-th/9803192];
32. N orbifolds and their resolutions, Nucl. Phys. B 539 (1999) 135 [hep-th/9807040];
33. E.T. Akhmedov, D-instantons probing D3-branes and the AdS/CFT correspondence, Phys. Rev. D 59 (1999) 101901 [hep-th/9812038];
34. C. Acatrinei, M. Fabbrichesi and R. Iengo, D-particles in the space-time of the shock wave, J. High Energy Phys. 01 (1999) 024 [hep-th/9901059];
35. L. Cornalba and R. Schiappa, Nonassociative star product deformations for D-brane worldvolumes in curved backgrounds, Commun. Math. Phys. 225 (2002) 33 [hep-th/0101219].
36. A.A. Tseytlin, On non-abelian generalisation of the Born-Infeld action in string theory, Nucl. Phys. B 501 (1997) 41 [hep-th/9701125].
37. M. Van Raamsdonk, Conservation of supergravity currents from matrix theory, Nucl. Phys. B 542 (1999) 262 [hep-th/9803003].
38. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
39. H. Dorn, Nonabelian gauge field dynamics on matrix D-branes, Nucl. Phys. B 494 (1997) 105 [hep-th/9612120];
40. H. Dorn, The mass term in non-abelian gauge field dynamics on matrix D-branes and T-duality in the sigma-model approach, J. High Energy Phys. 04 (1998) 013 [hep-th/9804065].
41. T. Banks and E. J. Martinec, The renormalization group and string field theory, Nucl. Phys. B 294 (1987) 733;
42. J. Hughes, J. Liu and J. Polchinski, Virasoro-Shapiro from Wilson, Nucl. Phys. B 316 (1989) 15;
43. K. Bardakci and L.M. Bernardo, String field equations from the generalized sigma model, Nucl. Phys. B 505 (1997) 463 [hep-th/9701171].
44. I.R. Klebanov and L. Thorlacius, The size of p-branes, Phys. Lett. B 371 (1996) 51 [hep-th/9510200];
45. M.R. Garousi and R.C. Myers, Superstring scattering from D-branes, Nucl. Phys. B 475 (1996) 193 [hep-th/9603194];
46. A. Hashimoto and I.R. Klebanov, Scattering of strings from D-branes, Nucl. Phys. 55B (Proc. Suppl.) (1997) 118 [hep-th/9611214];
47. M.R. Garousi and R.C. Myers, World-volume interactions on D-branes, Nucl. Phys. B 542 (1999) 73 [hep-th/9809100];
48. M.R. Garousi and R.C. Myers, World-volume potentials on D-branes, J. High Energy Phys. 11 (2000) 032 [hep-th/0010122].
49. L. Alvarez-Gaumé, D.Z. Freedman and S. Mukhi, The background field method and the ultraviolet structure of the supersymmetric nonlinear sigma model, Ann. Phys. (NY) 134 (1981) 85.
50. S. Mukhi, The geometric background field method, renormalization and the Wess-Zumino term in nonlinear sigma models, Nucl. Phys. B 264 (1986) 640.
51. A. Connes, Noncommutative geometry, Academic Press 1994.
52. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
53. N. Seiberg, A note on background independence in noncommutative gauge theories, matrix model and tachyon condensation, J. High Energy Phys. 09 (2000) 003 [hep-th/0008013].
54. M. Kontsevich, Deformation quantization of poisson manifolds, I, q-alg/9709040.