The shape of nonabelian D-branes

Journal of High Energy Physics

Volumn 8, Issue 4, 2004, Pages 83-133

  Hashimoto, Koji ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

D branes; Non Commutative Geometry

Indexed keywords

EID: 23044466785     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/04/004     Document Type: Article

References (78)

1. P.K. Townsend, P-brane democracy, hep-th/9507048.
2. N. Ishibashi, p-branes from (p-2)-branes in the bosonic string theory, Nucl. Phys. B 539 (1999) 107 [hep-th/9804163];
3. A relation between commutative and noncommutative descriptions of D-branes, hep-th/9909176;
4. For related studies, see L. Cornalba and R. Schiappa, Matrix theory star products from the Born-Infeld action, Adv. Theor. Math. Phys. 4 (2000) 249 [hep-th/9907211];
5. L. Cornalba, D-brane physics and noncommutative Yang-Mills theory, Adv. Theor. Math. Phys. 4 (2000) 271 [hep-th/9909081].
6. I.W. Taylor and M. Van Raamsdonk, Multiple Dp-branes in weak background fields, Nucl. Phys. B 573 (2000) 703 [hep-th/9910052];
7. Multiple D0-branes in weakly curved backgrounds, Nucl. Phys. B 558 (1999) 63 [hep-th/9904095].
8. K. Hashimoto and W. Taylor, Strings between branes, J. High Energy Phys. 10 (2003) 040 [hep-th/0307297].
9. R.C. Myers, Dielectric-branes, J. High Energy Phys. 12 (1999) 022 [hep-th/9910053].
10. K. Hashimoto and S. Nagaoka, Recombination of intersecting D-branes by local tachyon condensation, J. High Energy Phys. 06 (2003) 034 [hep-th/0303204].
11. T. Sato, A quantum analysis on recombination process and dynamics of Dp-branes at one angle, Nucl. Phys. B 682 (2004) 117 [hep-th/0304237].
12. A. Sen, Tachyon matter, J. High Energy Phys. 07 (2002) 065 [hep-th/0203265].
13. K. Hashimoto, H. Hata and N. Sasakura, 3-string junction and BPS saturated solutions in SU(3) supersymmetric Yang-Mills theory, Phys. Lett. B 431 (1998) 303 [hep-th/9803127].
14. K. Hashimoto, H. Hata and N. Sasakura, Multi-pronged strings and BPS saturated solutions in SU(N) supersymmetric Yang-Mills theory, Nucl. Phys. B 535 (1998) 83 [hep-th/9804164].
15. T. Kawano and K. Okuyama, String network and 1/4 BPS states in N = 4 SU(N) supersymmetric Yang-Mills theory, Phys. Lett. B 432 (1998) 338 [hep-th/9804139];
16. K.-M. Lee and P. Yi, Dyons in N = 4 supersymmetric theories and three-pronged strings, Phys. Rev. D 58 (1998) 066005 [hep-th/9804174].
17. D. Kabat and I.W. Taylor, Linearized supergravity from matrix theory, Phys. Lett. B 426 (1998) 297 [hep-th/9712185].
18. R. Schiappa, Matrix strings in weakly curved background fields, Nucl. Phys. B 608 (2001) 3 [hep-th/0005145];
19. D. Brecher, B. Janssen and Y. Lozano, Dielectric fundamental strings in matrix string theory, Nucl. Phys. B 634 (2002) 23 [hep-th/0112180].
20. Y. Okawa and H. Ooguri, How noncommutative gauge theories couple to gravity, Nucl. Phys. B 599 (2001) 55 [hep-th/0012218];
21. Energy-momentum tensors in matrix theory and in noncommutative gauge theories, hep-th/0103124.
22. W. Taylor, M(atrix) theory: matrix quantum mechanics as a fundamental theory, Rev. Mod. Phys. 73 (2001) 419 [hep-th/0101126].
23. D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and PP waves from N = 4 super Yang-Mills, J. High Energy Phys. 04 (2002) 013 [hep-th/0202021].
24. R. de Mello Koch, A. Jevicki and J.P. Rodrigues, Collective string field theory of matrix models in the BMN limit, hep-th/0209155;
25. R. de Mello Koch, A. Donos, A. Jevicki and J.P. Rodrigues, Derivation of string field theory from the large-N BMN limit, Phys. Rev. D 68 (2003) 065012 [hep-th/0305042].
26. Y. Imamura, Large angular momentum closed strings colliding with D-branes, J. High Energy Phys. 06 (2002) 005 [hep-th/0204200];
27. Open string: BMN operator correspondence in the weak coupling regime, Prog. Theor. Phys. 108 (2003) 1077 [hep-th/0208079].
28. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142];
29. Y. Okawa and H. Ooguri, An exact solution to Seiberg- Witten equation of noncommutative gauge theory, Phys. Rev. D 64 (2001) 046009 [hep-th/0104036];
30. S. Mukhi and N.V. Suryanarayana, Gauge-invariant couplings of noncommutative branes to Ramond-Ramond backgrounds, J. High Energy Phys. 05 (2001) 023 [hep-th/0104045];
31. H. Liu and J. Michelson, Ramond-Ramond couplings of noncommutative D-branes, Phys. Lett. B 518 (2001) 143 [hep-th/0104139].
32. A. Hashimoto and I.W. Taylor, Fluctuation spectra of tilted and intersecting D-branes from the Born-Infeld action, Nucl. Phys. B 503 (1997) 193 [hep-th/9703217].
33. M. Berkooz, M.R. Douglas and R.G. Leigh, Branes intersecting at angles, Nucl. Phys. B 480 (1996) 265 [hep-th/9606139].
34. F. Larsen, A. Naqvi and S. Terashima, Rolling tachyons and decaying branes, J. High Energy Phys. 02 (2003) 039 [hep-th/0212248].
35. M. Gutperle and A. Strominger, Spacelike branes, J. High Energy Phys. 04 (2002) 018 [hep-th/0202210].
36. A. Sen, Rolling tachyon, J. High Energy Phys. 04 (2002) 048 [hep-th/0203211].
37. N.T. Jones and S.H.H. Tye, Spectral flow and boundary string field theory for angled D-branes, J. High Energy Phys. 08 (2003) 037 [hep-th/0307092].
38. K. Dasgupta and S. Mukhi, BPS nature of 3-string junctions, Phys. Lett. B 423 (1998) 261 [hep-th/9711094];
39. J.P. Gauntlett, J. Gomis and P.K. Townsend, BPS bounds for worldvolume branes, J. High Energy Phys. 01 (1998) 003 [hep-th/9711205];
40. A. Sen, String network, J. High Energy Phys. 03 (1998) 005 [hep-th/9711130].
41. M. Van Raamsdonk, Conservation of supergravity currents from matrix theory, Nucl. Phys. B 542 (1999) 262 [hep-th/9803003].
42. C.G. Callan Jr. and J.M. Maldacena, Brane dynamics from the Born-Infeld action, Nucl. Phys. B 513 (1998) 198 [hep-th/9708147];
43. G.W. Gibbons, Born-Infeld particles and dirichlet p-branes, Nucl. Phys. B 514 (1998) 603 [hep-th/9709027].
44. M.K. Prasad and C.M. Sommerfield, An exact classical solution for the't Hooft monopole and the Julia-Zee dyon, Phys. Rev. Lett. 35 (1975) 760.
45. A. Hashimoto, The shape of branes pulled by strings, Phys. Rev. D 57 (1998) 6441 [hep-th/9711097].
46. O. Bergman, Three-pronged strings and 1/4 BPS states in N = 4 super-Yang-Mills theory, Nucl. Phys. B 525 (1998) 104 [hep-th/9712211].
47. M. van Raamsdonk, unpublished.
48. D. Kabat and I.W. Taylor, Spherical membranes in matrix theory, Adv. Theor. Math. Phys. 2 (1998) 181 [hep-th/9711078].
49. J. Madore, The fuzzy sphere, Class. and Quant. Grav. 9 (1992) 69;
50. C.-S. Chu, J. Madore and H. Steinacker, Scaling limits of the fuzzy sphere at one loop, J. High Energy Phys. 08 (2001) 038 [hep-th/0106205];
51. I. Kishimoto, Fuzzy sphere and hyperbolic space from deformation quantization, J. High Energy Phys. 03 (2001) 025 [hep-th/0103018];
52. J.M. Grimstrup, T. Jonsson and L. Thorlacius, The Seiberg-Witten map on the fuzzy sphere, J. High Energy Phys. 12 (2003) 001 [hep-th/0310179].
53. J. Castelino, S.-M. Lee and I.W. Taylor, Longitudinal 5-branes as 4-spheres in matrix theory, Nucl. Phys. B 526 (1998) 334 [hep-th/9712105].
54. D. Bak and K.-M. Lee, Noncommutative supersymmetric tubes, Phys. Lett. B 509 (2001) 168 [hep-th/0103148].
55. M. Chaichian, A. Demichev and P. Prešnajder, Quantum field theory on noncommutative space-times and the persistence of ultraviolet divergences, Nucl. Phys. B 567 (2000) 360 [hep-th/9812180];
56. Y. Hyakutake, Torus-like Dielectric D2-brane, J. High Energy Phys. 05 (2001) 013 [hep-th/0103146];
57. Notes on the construction of the D2-brane from multiple D0-branes, Nucl. Phys. B 675 (2003) 241 [hep-th/0302190];
58. S.V. Demidov, S.L. Dubovsky, V.A. Rubakov and S.M. Sibiryakov, Gauge theory solitons on noncommutative cylinder, hep-th/0301047.
59. D. Mateos and P.K. Townsend, Supertubes, Phys. Rev. Lett. 87 (2001) 011602 [hep-th/0103030].
60. D.-E. Diaconescu, D-branes, monopoles and Nahm equations, Nucl. Phys. B 503 (1997) 220 [hep-th/9608163];
61. N.R. Constable, R.C. Myers and O. Tafjord, The noncommutative bion core, Phys. Rev. D 61 (2000) 106009 [hep-th/9911136];
62. Non-abelian brane intersections, J. High Energy Phys. 06 (2001) 023 [hep-th/0102080];
63. N.R. Constable and N.D. Lambert, Calibrations, monopoles and fuzzy funnels, Phys. Rev. D 66 (2002) 065016 [hep-th/0206243].
64. J. Goldstone, unpublished;
65. J. Hoppe, Quantum theory of a massless relativistic surface and a two dimensional bound state problem, Ph.D. thesis, 1982, M.I.T.;
66. B. de Wit, J. Hoppe and H. Nicolai, On the quantum mechanics of supermembranes, Nucl. Phys. B 305 (1988) 545;
67. D.B. Fairlie, P. Fletcher and C.K. Zachos, Trigonometric structure constants for new infinite algebras, Phys. Lett. B 218 (1989) 203;;
68. D.B. Fairlie and C.K. Zachos, Infinite dimensional algebras, sine brackets and SU(∞), Phys. Lett. B 224 (1989) 101;
69. E.G. Floratos, The heisenberg-weyl group on the Z(N) × Z(N) discretized torus membrane, Phys. Lett. B 228 (1989) 335;
70. See for a recent discussion on the membrane regularization, H. Shimada, Membrane topology and matrix regularization, hep-th/0307058.
71. L. Thorlacius, Born-Infeld string as a boundary conformal field theory, Phys. Rev. Lett. 80 (1998) 1588 [hep-th/9710181].
72. K. Hashimoto, Corrections to D-brane action and generalized boundary state, Phys. Rev. D 61 (2000) 106002 [hep-th/9909027];
73. Generalized supersymmetric boundary state, J. High Energy Phys. 04 (2000) 023 [hep-th/9909095].
74. Y. Hikida, M. Nozaki and Y. Sugawara, Formation of spherical D2-brane from multiple D0-branes, Nucl. Phys. B 617 (2001) 117 [hep-th/0101211].
75. K. Hashimoto and K. Krasnov, D-brane solutions in non-commutative gauge theory on fuzzy sphere, Phys. Rev. D 64 (2001) 046007 [hep-th/0101145].
76. H. Liu and J. Michelson, *-Trek III: the search for Ramond-Ramond couplings, Nucl. Phys. B 614 (2001) 330 [hep-th/0107172].
77. S. Terashima, A construction of commutative D-branes from lower dimensional non-BPS D-branes, J. High Energy Phys. 05 (2001) 059 [hep-th/0101087].
78. T. Asakawa, S. Sugimoto and S. Terashima, Exact description of D-branes via tachyon condensation, J. High Energy Phys. 02 (2003) 011 [hep-th/0212188].