Non-abelian brane intersections

Journal of High Energy Physics

Volumn 5, Issue 6, 2001, Pages 1-36

  Constable, Neil R ^a   Myers, Robert C ^a   Tafjord, Øyvind ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Brane Dynamics in Gauge Theories; D branes; Non Commutative Geometry

Indexed keywords

EID: 33744542662     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/06/023     Document Type: Article

References (71)

1. J. Polchinski, Dirichlet-branes and Ramond-Ramond charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017];
2. J. Dai, R.G. Leigh and J. Polchinski, New connections between string theories, Mod. Phys. Lett. A 4 (1989) 2073.
3. J. Polchinski, Tasi lectures on D-branes, hep-th/9611050.
4. C.V. Johnson, D-brane primer, hep-th/0007170.
5. R.G. Leigh, Dirac-Born-Infeld action from Dirichlet sigma model, Mod. Phys. Lett. A 4 (1989) 2767.
6. A.A. Tseytlin, Born-Infeld action, supersymmetry and string theory, in The many faces of the superworld, ed. M. Shifman, World Scientific, 2000, hep-th/9908105.
7. C.G. Callan Jr. and J.M. Maldacena, Brane dynamics from the Born-Infeld action, Nucl. Phys. B 513 (1998) 198 [hep-th/9708147];
8. G.W. Gibbons, Born-Infeld particles and Dirichlet p-branes, Nucl. Phys. B 514 (1998) 603 [hep-th/9709027];
9. P.S. Howe, N.D. Lambert and P.C. West, The self-dual string soliton, Nucl. Phys. B 515 (1998) 203 [hep-th/9709014].
10. 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].
11. D. Kabat and W. Taylor, Spherical membranes in matrix theory, Adv. Theor. Math. Phys. 2 (1998) 181 [hep-th/9711078];
12. S.-J. Rey, Gravitating m(atrix) q-balls, hep-th/9711081.
13. R.C. Myers, Dielectric-branes, J. High Energy Phys. 12 (1999) 022 [hep-th/9910053].
14. E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135].
15. W. Taylor and M.V. Raamsdonk, Multiple Dp-branes in weak background fields, Nucl. Phys. B 573 (2000) 703 [hep-th/9910052].
16. J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from anti-de Sitter space, J. High Energy Phys. 06 (2000) 008 [hep-th/0003075].
17. J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136.
18. N.R. Constable, R.C. Myers and O. Tafjord, The noncommutative bion core, Phys. Rev. D 61 (2000) 106009 [hep-th/9911136].
19. N.D. Lambert and I. Sachs, Non-abelian Born-Infeld action and solitons for critical non-BPS branes, J. High Energy Phys. 08 (2000) 024 [hep-th/0006122].
20. N.D. Lambert and D. Tong, Dyonic instantons in five-dimensional gauge theories, Phys. Lett. B 462 (1999) 89 [hep-th/9907014];
21. �M. Zamaklar, Geometry of the nonabelian dbi dyonic instanton, Phys. Lett. B 493 (2000) 411 [hep-th/0006090].
22. S.P. Trivedi and S. Vaidya, Fuzzy cosets and their gravity duals, J. High Energy Phys. 09 (2000) 041 [hep-th/0007011].
23. 5, hep-th/0007067.
24. J. Kluson, D-branes from N non-BPS D0-branes, J. High Energy Phys. 11 (2000) 016 [hep-th/0009189].
25. Y. Lozano, Non-commutative branes from M-theory, hep-th/0012137.
26. A. Strominger, Open p-branes, Phys. Lett. B 383 (1996) 44 [hep-th/9512059];
27. P.K. Townsend, Brane surgery, Nucl. Phys. 58 (Proc. Suppl.) (1997) 163 [hep-th/9609217].
28. G.W. Semenoff and K. Zarembo, Solitons on branes, Nucl. Phys. B 556 (1999) 247 [hep-th/9903140].
29. D.-E. Diaconescu, D-branes, monopoles and Nahm equations, Nucl. Phys. B 503 (1997) 220 [hep-th/9608163].
30. J. Castelino, S. Lee and W. Taylor, Longitudinal 5-branes as 4-spheres in matrix theory, Nucl. Phys. B 526 (1998) 334 [hep-th/9712105].
31. J.P. Gauntlett, J. Gomis and P.K. Townsend, BPS bounds for worldvolume branes, J. High Energy Phys. 01 (1998) 003 [hep-th/9711205];
32. D. Brecher, BPS states of the non-abelian Born-Infeld action, Phys. Lett. B 442 (1998) 117 [hep-th/9804180].
33. S. Lee, A. Peet and L. Thorlacius, Brane-waves and strings, Nucl. Phys. B 514 (1998) 161 [hep-th/9710097];
34. D. Kastor and J. Traschen, Dynamics of the DBI spike soliton, Phys. Rev. D 61 (2000) 024034 [hep-th/9906237].
35. A.A. Tseytlin, On non-abelian generalisation of the Born-Infeld action in string theory, Nucl. Phys. B 501 (1997) 41 [hep-th/9701125].
36. W. Nahm, A simple formalism for the BPS monopole, Phys. Lett. B 90 (1980) 413;
37. The construction of all self-dual multimonopoles by the ADHM method, in Monopoles in quantum field theory, Craigie et al. (eds), World Scientific, Singapore 1982.
38. J. Hoppe, Quantum Theory of a Massless Relativistic Surface and a Two-Dimensional Bound State Problem, MIT Ph.D. thesis, 1982 (available at http://www.aei-potsdam.mpg.de/~hoppe), Elem. Part. Res. J. (Kyoto), 80 (1989) 145;
39. B. de Wit, J. Hoppe and H. Nicolai, On the quantum mechanics of supermembranes, Nucl. Phys. B 305 (1988) 545;
40. J. Madore, An Introduction of Noncommutative Differential Geometry and its Applications, Cambridge University Press, Cambridge 1995.
41. H. Grosse, C. Klimcik and P. Presnajder, Finite quantum field theory in noncommutative geometry, Comm. Math. Phys. 180 (1996) 429 [hep-th/9602115].
42. M.F. Atiyah, Geometry Of Yang-Mills Fields, in Collected works, vol. 5, p. 75, Oxford University Press 1988.
43. H.C. Wang, On invariant connections over a principal fibre bundle, Nagoya Math. J., 13 (1958) 1.
44. J.H. Schwarz, An SL(2, Z) multiplet of type IIB superstrings, Phys. Lett. B 360 (1995) 13 [hep-th/9508143].
45. M. Li, Boundary states of D-branes and DY-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161].
46. A.W. Peet, unpublished.
47. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200];
48. For a review, see: O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, large-N field theories, string theory and gravity, Phys. Rep. 323 (2000) 183 [hep-th/9905111].
49. A. Connes, Noncommutative Geometry, Academic Press, San Diego 1994.
50. L. Freidel and K. Krasnov, The fuzzy sphere ∗-product and spin networks, hep-th/0103070.
51. E. Hawkins, Noncommutative regularization for the practical man, hep-th/9908052.
52. A. Hashimoto and W. Taylor, Fluctuation spectra of tilted and intersecting D-branes from the Born-Infeld action, Nucl. Phys. B 503 (1997) 193 [hep-th/9703217];
53. F. Denef, A. Sevrin and J. Troost, Non-abelian Born-Infeld versus string theory, Nucl. Phys. B 581 (2000) 135 [hep-th/0002180].
54. P. Bain, On the non-abelian Born-Infeld action, hep-th/9909154;
55. 6, Nucl. Phys. B 603 (2001) 389 [hep-th/0101192].
56. C.P. Bachas and P. Bain, unpublished;
57. A. Hashimoto and R.C. Myers, unpublished.
58. For a review, W. Taylor, M(atrix) theory: matrix quantum mechanics as a fundamental theory, hep-th/0101126.
59. R. Dijkgraaf, E. Verlinde and H. Verlinde, Matrix string theory, Nucl. Phys. B 500 (1997) 43 [hep-th/9703030].
60. R. Schiappa, Matrix strings in weakly curved background fields, hep-th/0005145.
61. A. Hashimoto, The shape of branes pulled by strings, Phys. Rev. D 57 (1998) 6441 [hep-th/9711097].
62. N.J. Hitchin, Monopoles and geodesics, Comm. Math. Phys. 83 (1982) 579;
63. See also: N.S. Manton and M.K. Murray, Symmetric monopoles, hep-th/9407102.
64. V. Balasubramanian and R.G. Leigh, D-branes, moduli and supersymmetry, Phys. Rev. D 55 (1997) 6415 [hep-th/9611165].
65. J.C. Breckenridge, G. Michaud and R.C. Myers, More D-brane bound states, Phys. Rev. D 55 (1997) 6438 [hep-th/9611174];
66. M.S. Costa and G. Papadopoulos, Superstring dualities and p-brane bound states, Nucl. Phys. B 510 (1998) 217 [hep-th/9612204].
67. N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large-N limit of theories with sixteen supercharges, Phys. Rev. D 58 (1998) 046004 [hep-th/9802042].
68. E. Corrigan, C. Devchand, D.B. Fairlie and J. Nuyts, First order equations for gauge fields in spaces of dimension greater than four, Nucl. Phys. B 214 (1983) 452;
69. L. Baker and D. Fairlie, Moyal Nahm equations, J. Math. Phys. 40 (1999) 2539 [hep-th/9901072].
70. A.A. Belavin, A.M. Polyakov, A.S. Shvarts and Y.S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations, Phys. Lett. B 59 (1975) 85.
71. See, for example: M. Nakahara, Geometry, Topology and Physics, Adam Hilger, Bristol 1990.