M-theory branes and their interactions

Physics Reports

Volumn 456, Issue 3, 2008, Pages 89-126

  Berman, David S ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38149056528     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2007.10.002     Document Type: Review

References (137)

1. Witten E. String theory dynamics in various dimensions. Nuclear Phys. B 443 (1995) 85. arXiv:hep-th/9503124
2. Hull C.M., and Townsend P.K. Unity of superstring dualities. Nuclear Phys. B 438 (1995) 109. arXiv:hep-th/9410167
3. Schwarz J.H. The power of M theory. Phys. Lett. B 367 (1996) 97. arXiv:hep-th/9510086
4. Polchinski J. Dirichlet-Branes and Ramond-Ramond charges. Phys. Rev. Lett. 75 (1995) 4724. arXiv:hep-th/9510017
5. Polchinski J., Chaudhuri S., and Johnson C.V. Notes on D-Branes. arXiv:hep-th/9602052
6. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2 (1998) 231
7. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Int. J. Theor. Phys. 38 (1999) 1113. arXiv:hep-th/9711200
8. Klebanov I.R. World-volume approach to absorption by non-dilatonic branes. Nuclear Phys. B 496 (1997) 231. arXiv:hep-th/9702076
9. Klebanov I.R., and Tseytlin A.A. Nuclear Phys. B 475 (1996) 164. arXiv:hep-th/9604089
10. Strominger A. Open p-branes. Phys. Lett. B 383 (1996) 44. arXiv:hep-th/9512059
11. Howe P.S., Lambert N.D., and West P.C. The self-dual string soliton. Nuclear Phys. B 515 (1998) 203. arXiv:hep-th/9709014
12. Das S.R., Gibbons G.W., and Mathur S.D. Phys. Rev. Lett. 78 (1997) 417. arXiv:hep-th/9609052
13. Bagger J., and Lambert N. Modeling multiple M 2's. Phys. Rev. D 75 (2007) 045020. arXiv:hep-th/0611108
14. Basu A., and Harvey J.A. The M 2 - M 5 brane system and a generalized Nahm's equation. Nuclear Phys. B 713 (2005) 136. arXiv:hep-th/0412310
15. Howe P.S., Lindstrom U., and Wulff L. Kappa-symmetry for coincident D-branes. arXiv:hep-th/0706.2494
16. Berman D.S., and Copland N.B. Five-brane calibrations and fuzzy funnels. Nuclear Phys. B 723 (2005) 117. arXiv:hep-th/0504044
17. Berman D.S., and Copland N.B. A note on the M 2 - M 5 brane system and fuzzy spheres. Phys. Lett. B 639 (2006) 553. arXiv:hep-th/0605086
18. Banks T., Fischler W., Shenker S.H., and Susskind L. M theory as a matrix model: A conjecture. Phys. Rev. D 55 (1997) 5112. arXiv:hep-th/9610043
19. Witten E. Solutions of four-dimensional field theories via M-theory. Nuclear Phys. B 500 (1997) 3. arXiv:hep-th/9703166
20. Howe P.S., Lambert N.D., and West P.C. Classical M-fivebrane dynamics and quantum N = 2 Yang-Mills. Phys. Lett. B 418 (1998) 85. arXiv:hep-th/9710034
21. Atiyah M., and Witten E. M-theory dynamics on a manifold of G (2) holonomy. Adv. Theor. Math. Phys. 6 (2003) 1. arXiv:hep-th/0107177
22. Miemiec A., and Schnakenburg I. Basics of M-theory. Fortsch. Phys. 54 (2006) 5. arXiv:hep-th/0509137
23. Cremmer E., Julia B., and Scherk J. Supergravity theory in 11 dimensions. Phys. Lett. B 76 (1978) 409
24. Duff M.J., and Stelle K.S. Multi-membrane solutions of D = 11 supergravity. Phys. Lett. B 253 (1991) 113
25. Gueven R. Black p-brane solutions of D = 11 supergravity theory. Phys. Lett. B 276 (1992) 49
26. Bergshoeff E., Sezgin E., and Townsend P.K. Supermembranes and eleven-dimensional supergravity. Phys. Lett. B 189 (1987) 75
27. Duff M.J., Howe P.S., Inami T., and Stelle K.S. Superstrings in D = 10 from supermembranes in D = 11. Phys. Lett. B 191 (1987) 70
28. Berman D.S., and Perry M.J. M-theory and the string genus expansion. Phys. Lett. B 635 (2006) 131. arXiv:hep-th/0601141
29. Townsend P.K. Brane theory solitons. arXiv:hep-th/0004039
30. Adawi T., Cederwall M., Gran U., Nilsson B.E.W., and Razaznejad B. Goldstone tensor modes. J. High Energy Phys. JHEP 9902 (1999) 001. arXiv:hep-th/9811145
31. Bandos I.A., Lechner K., Nurmagambetov A., Pasti P., Sorokin D.P., and Tonin M. Covariant action for the super-five-brane of M-theory. Phys. Rev. Lett. 78 (1997) 4332. arXiv:hep-th/9701149
32. Pasti P., Sorokin D.P., and Tonin M. Covariant action for a D = 11 five-brane with the chiral field. Phys. Lett. B 398 (1997) 41. arXiv:hep-th/9701037
33. M. Aganagic, J. Park, C. Popescu, J.H. Schwarz, World-volume action of the M-theory five-brane
34. Bandos I.A., Lechner K., Nurmagambetov A., Pasti P., Sorokin D.P., and Tonin M. Phys. Lett. B 408 (1997) 135. arXiv:hep-th/9703127
35. Bandos I.A., Lechner K., Nurmagambetov A., Pasti P., Sorokin D.P., and Tonin M. Nuclear Phys. B 496 (1997) 191. arXiv:hep-th/9701166
36. Witten E. Five-brane effective action in M-theory. J. Geom. Phys. 22 (1997) 103. arXiv:hep-th/9610234
37. Belov D., and Moore G.W. Holographic action for the self-dual field. arXiv:hep-th/0605038
38. Howe P.S., and Sezgin E. D = 11, p = 5. Phys. Lett. B 394 (1997) 62. arXiv:hep-th/9611008
39. Howe P.S., Sezgin E., and West P.C. Covariant field equations of the M-theory five-brane. Phys. Lett. B 399 (1997) 49. arXiv:hep-th/9702008
40. Bandos I.A., Lechner K., Nurmagambetov A., Pasti P., Sorokin D.P., and Tonin M. On the equivalence of different formulations of the M theory five-brane. Phys. Lett. B 408 (1997) 135. arXiv:hep-th/9703127
41. Gibbons G.W., and West P.C. The metric and strong coupling limit of the M 5-brane. J. Math. Phys. 42 (2001) 3188. arXiv:hep-th/0011149
42. Sezgin E., and Sundell P. Aspects of the M 5-brane. arXiv:hep-th/9902171
43. Grisaru M.T., and Knutt M.E. Norcor vs the abominable gauge completion. Phys. Lett. B 500 (2001) 188. arXiv:hep-th/0011173
44. Hawking S.W. Particle creation by black holes. Commun. Math. Phys. 43 (1975) 199
45. Hawking S.W. Particle creation by black holes. Commun. Math. Phys. 46 (1976) 206 (Erratum)
46. Harvey J.A. TASI 2003 lectures on anomalies. arXiv:hep-th/0509097
47. Witten E. Anti-de Sitter space, thermal phase transition, and confinement in gauge theories. Adv. Theor. Math. Phys. 2 (1998) 505. arXiv:hep-th/9803131
48. Achucarro A., Kapusta P., and Stelle K.S. Strings from membranes: The origin of conformal invariance. Phys. Lett. B 232 (1989) 302
49. Gubser S.S., Klebanov I.R., and Tseytlin A.A. Coupling constant dependence in thermodynamics of N = 4 supersymmetric Yang-Mills theory. Nuclear Phys. B 534 (1998) 202. arXiv:hep-th/9805156
50. Alvarez-Gaume L., and Witten E. Gravitational anomalies. Nuclear Phys. B 234 (1984) 269
51. Bott R., and Tu L.W. Differential Forms in Algebraic Topology (1982), Springer-Verlag, New York
52. Freed D., Harvey J.A., Minasian R., and Moore G.W. Gravitational anomaly cancellation for M-theory five-branes. Adv. Theor. Math. Phys. 2 (1998) 601. arXiv:hep-th/9803205
53. Harvey J.A., Minasian R., and Moore G.W. Non-abelian tensor-multiplet anomalies. J. High Energy Phys. JHEP 9809 (1998) 004. arXiv:hep-th/9808060
54. Henningson M., and Skenderis K. The holographic Weyl anomaly. J. High Energy Phys. JHEP 9807 (1998) 023. arXiv:hep-th/9806087
55. * * 4 terms in 11 dimensions and conformal anomaly of (2, 0) theory. Nuclear Phys. B 584 (2000) 233. arXiv:hep-th/0005072
56. Ganor O., and Motl L. Equations of the (2, 0) theory and knitted five-branes. J. High Energy Phys. JHEP 9805 (1998) 009. arXiv:hep-th/9803108
57. Intriligator K.A. Anomaly matching and a Hopf-Wess-Zumino term in 6 d, N = (2, 0) field theories. Nuclear Phys. B 581 (2000) 257. arXiv:hep-th/0001205
58. Yi P. Anomaly of (2, 0) theories. Phys. Rev. D 64 (2001) 106006. arXiv:hep-th/0106165
59. Townsend P.K. Brane surgery. Nucl. Phys. Proc. Suppl. 58 (1997) 163. arXiv:hep-th/9609217
60. Chu C.S., and Sezgin E. M-fivebrane from the open supermembrane. J. High Energy Phys. JHEP 9712 (1997) 001. arXiv:hep-th/9710223
61. Perry M., and Schwarz J.H. Interacting chiral gauge fields in six dimensions and Born-Infeld theory. Nuclear Phys. B 489 (1997) 47. arXiv:hep-th/9611065
62. Berman D.S. Aspects of M-5 brane world volume dynamics. Phys. Lett. B 572 (2003) 101. arXiv:hep-th/0307040
63. Berman D.S., and Sundell P. A d S (3) OM theory and the self-dual string or membranes ending on the five-brane. Phys. Lett. B 529 (2002) 171. arXiv:hep-th/0105288
64. Lee K.M., and Yee H.U. BPS string webs in the 6-dim (2, 0) theories. J. High Energy Phys. JHEP 0703 (2007) 057. arXiv:hep-th/0606150
65. Brax Ph., and Mourad J. Open supermembranes coupled to M-theory five-branes. Phys. Lett. B 416 (1998) 295. arXiv:hep-th/9707246
66. Henningson M. Self-dual strings in six dimensions: Anomalies, the ADE-classification, and the world-sheet WZW-model. Commun. Math. Phys. 257 (2005) 291. arXiv:hep-th/0405056
67. Berman D.S., and Harvey J.A. The self-dual string and anomalies in the M 5-brane. J. High Energy Phys. JHEP 0411 (2004) 015. arXiv:hep-th/0408198
68. Bergshoeff E., Berman D.S., van der Schaar J.P., and Sundell P. Critical fields on the M 5-brane and noncommutative open strings. Phys. Lett. B 492 (2000) 193. arXiv:hep-th/0006112
69. Gopakumar R., Minwalla S., Seiberg N., and Strominger A. J. High Energy Phys. JHEP 0008 (2000) 008. arXiv:hep-th/0006062
70. Arvidsson P., Flink E., and Henningson M. The (2, 0) supersymmetric theory of tensor multiplets and self-dual strings in six dimensions. J. High Energy Phys. JHEP 0405 (2004) 048. arXiv:hep-th/0402187
71. Arvidsson P., Flink E., and Henningson M. Supersymmetric coupling of a self-dual string to a (2, 0) tensor multiplet background. J. High Energy Phys. JHEP 0311 (2003) 015. arXiv:hep-th/0309244
72. Arvidsson P., Flink E., and Henningson M. Free tensor multiplets and strings in spontaneously broken six-dimensional (2, 0) theory. J. High Energy Phys. JHEP 0306 (2003) 039. arXiv:hep-th/0306145
73. Arvidsson P., Flink E., and Henningson M. Thomson scattering of chiral tensors and scalars against a self-dual string. J. High Energy Phys. JHEP 0212 (2002) 010. arXiv:hep-th/0210223
74. Bergshoeff E., Berman D.S., van der Schaar J.P., and Sundell P. A noncommutative M-theory five-brane. Nuclear Phys. B 590 (2000) 173. arXiv:hep-th/0005026
75. Matsuo Y., and Shibusa Y. Volume preserving diffeomorphism and noncommutative branes. J. High Energy Phys. JHEP 0102 (2001) 006. arXiv:hep-th/0010040
76. Pioline B. Comments on the topological open membrane. Phys. Rev. D 66 (2002) 025010. arXiv:hep-th/0201257
77. Berman D.S., Cederwall M., Gran U., Larsson H., Nielsen M., Nilsson B.E.W., and Sundell P. Deformation independent open brane metrics and generalized theta parameters. J. High Energy Phys. JHEP 0202 (2002) 012. arXiv:hep-th/0109107
78. Van der Schaar J.P. The reduced open membrane metric. J. High Energy Phys. JHEP 0108 (2001) 048. arXiv:hep-th/0106046
79. Berman D.S., and Pioline B. Open membranes, ribbons and deformed Schild strings. Phys. Rev. D 70 (2004) 045007. arXiv:hep-th/0404049
80. de Wit B., Hoppe J., and Nicolai H. On the quantum mechanics of supermembranes. Nuclear Phys. B 305 (1988) 545
81. Schild A. Classical null strings. Phys. Rev. D 16 (1977) 1722
82. Ishibashi N., Kawai H., Kitazawa Y., and Tsuchiya A. A large-N reduced model as superstring. Nuclear Phys. B 498 (1997) 467. arXiv:hep-th/9612115
83. Kawamoto S., and Sasakura N. Open membranes in a constant C-field background and noncommutative boundary strings. J. High Energy Phys. JHEP 0007 (2000) 014. arXiv:hep-th/0005123
84. Ho P.M., and Matsuo Y. A toy model of open membrane field theory in constant 3-form flux. arXiv:hep-th/0701130
85. Constable N.R., Myers R.C., and Tafjord O. The noncommutative bion core. Phys. Rev. D 61 (2000) 106009. arXiv:hep-th/9911136
86. N.B. Copland, Aspects of M-theory brane interactions and string symmetries, Ph.D. Thesis, University of Cambridge
87. Constable N.R., and Lambert N.D. Calibrations, monopoles and fuzzy funnels. Phys. Rev. D 66 (2002) 065016. arXiv:hep-th/0206243
88. Nahm W. A simple formalism for the bps monopole. Phys. Lett. B 90 (1980) 413
89. Callan C.G., and Maldacena J.M. Brane dynamics from the Born-Infeld action. Nuclear Phys. B 513 (1998) 198. arXiv:hep-th/9708147
90. Gibbons G.W. Born-Infeld particles and dirichlet p-branes. Nuclear Phys. B 514 (1998) 603. arXiv:hep-th/9709027
91. Myers R.C. Dielectric-branes. J. High Energy Phys. JHEP 9912 (1999) 022. arXiv:hep-th/9910053
92. Kastor D., and Traschen J.H. Dynamics of the DBI spike soliton. Phys. Rev. D 61 (2000) 024034. arXiv:hep-th/9906237
93. Lee S.M., Peet A.W., and Thorlacius L. Brane-waves and strings. Nuclear Phys. B 514 (1998) 161. arXiv:hep-th/9710097
94. Harvey R., and Lawson H.B. Calibrated geometries. Acta Math. 148 (1982) 47
95. Gibbons G.W., and Papadopoulos G. Calibrations and intersecting branes. Commun. Math. Phys. 202 (1999) 593. arXiv:hep-th/9803163
96. Gauntlett J.P., Lambert N.D., and West P.C. Branes and calibrated geometries. Commun. Math. Phys. 202 (1999) 571. arXiv:hep-th/9803216
97. Diaconescu D.E. D-branes, monopoles and Nahm equations. Nuclear Phys. B 503 (1997) 220. arXiv:hep-th/9608163
98. Brecher D., and Perry M.J. Bound states of D-branes and the non-abelian Born-Infeld action. Nuclear Phys. B 527 (1998) 121. arXiv:hep-th/9801127
99. Brecher D. BPS states of the non-Abelian Born-Infeld action. Phys. Lett. B 442 (1998) 117. arXiv:hep-th/9804180
100. Lambert N.D. Moduli and brane intersections. Phys. Rev. D 67 (2003) 026006. arXiv:hep-th/0209141
101. Erdmenger J., Guralnik Z., Helling R., and Kirsch I. A world-volume perspective on the recombination of intersecting branes. J. High Energy Phys. JHEP 0404 (2004) 064. arXiv:hep-th/0309043
102. Constable N.R., Myers R.C., and Tafjord O. Non-Abelian brane intersections. J. High Energy Phys. JHEP 0106 (2001) 023. arXiv:hep-th/0102080
103. Constable N.R., Myers R.C., and Tafjord O. Fuzzy funnels: Non-abelian brane intersections. arXiv:hep-th/0105035
104. Cook P., de Mello Koch R., and Murugan J. Non-Abelian BIonic brane intersections. Phys. Rev. D 68 (2003) 126007. arXiv:hep-th/0306250
105. Nambu Y. Generalized Hamiltonian dynamics. Phys. Rev. D 7 (1973) 2405
106. Curtright T.L., and Zachos C.K. Branes, strings, and odd quantum Nambu brackets. arXiv:hep-th/0312048
107. Nogradi D. M 2-branes stretching between M 5-branes. J. High Energy Phys. JHEP 0601 (2006) 010. arXiv:hep-th/0511091
108. Bagger J., and Lambert N. Modeling multiple M 2's. arXiv:hep-th/0611108
109. Acharya B.S., Figueroa-O'Farrill J.M., and Spence B. Branes at angles and calibrated geometry. J. High Energy Phys. JHEP 9804 (1998) 012. arXiv:hep-th/9803260
110. Hofman C.M., and Ma W.K. Deformations of closed strings and topological open membranes. J. High Energy Phys. JHEP 0106 (2001) 033. arXiv:hep-th/0102201
111. Alekseev A.Y., Recknagel A., and Schomerus V. Non-commutative world-volume geometries: Branes on S U (2) and fuzzy spheres. J. High Energy Phys. JHEP 9909 (1999) 023. arXiv:hep-th/9908040
112. Castelino J., Lee S.M., and Taylor W.I. Longitudinal 5-branes as 4-spheres in matrix theory. Nuclear Phys. B 526 (1998) 334. arXiv:hep-th/9712105
113. Guralnik Z., and Ramgoolam S. On the polarization of unstable D0-branes into non-commutative odd spheres. J. High Energy Phys. JHEP 0102 (2001) 032. arXiv:hep-th/0101001
114. Ramgoolam S. On spherical harmonics for fuzzy spheres in diverse dimensions. Nuclear Phys. B 610 (2001) 461. arXiv:hep-th/0105006
115. Ramgoolam S. Higher dimensional geometries related to fuzzy odd-dimensional spheres. J. High Energy Phys. JHEP 0210 (2002) 064. arXiv:hep-th/0207111
116. Papageorgakis C., and Ramgoolam S. On time-dependent collapsing branes and fuzzy odd-dimensional spheres. arXiv:hep-th/0603239
117. Madore J. The fuzzy sphere. Class. Quant. Grav. 9 (1992) 69
118. de Wit B., Hoppe J., and Nicolai H. On the quantum mechanics of supermembranes. Nuclear Phys. B 305 (1988) 545
119. Jevicki A., and Ramgoolam S. Non-commutative gravity from the A d S/CFT correspondence. J. High Energy Phys. JHEP 9904 (1999) 032. arXiv:hep-th/9902059
120. Ho P.M. Fuzzy sphere from matrix model. J. High Energy Phys. JHEP 0012 (2000) 015. arXiv:hep-th/0010165
121. Sheikh-Jabbari M.M. Tiny graviton matrix theory: DLCQ of IIB plane-wave string theory, a conjecture. J. High Energy Phys. JHEP 0409 (2004) 017. arXiv:hep-th/0406214
122. Sheikh-Jabbari M.M., and Torabian M. Classification of all 1/2 BPS solutions of the tiny graviton matrix theory. arXiv:hep-th/0501001
123. Bhattacharyya R. A short note on multi-bion solutions. arXiv:hep-th/0505103
124. Bhattacharyya R., and de Mello Koch R. Fluctuating fuzzy funnels. J. High Energy Phys. JHEP 0510 (2005) 036. arXiv:hep-th/0508131
125. Bhattacharyya R., and Douari J. Brane intersections in the presence of a worldvolume electric field. J. High Energy Phys. JHEP 0512 (2005) 012. arXiv:hep-th/0509023
126. Thomas S., and Ward J. Electrified fuzzy spheres and funnels in curved backgrounds. arXiv:hep-th/0602071
127. McNamara S., Papageorgakis C., Ramgoolam S., and Spence B. Finite N effects on the collapse of fuzzy spheres. J. High Energy Phys. JHEP 0605 (2006) 060. arXiv:hep-th/0512145
128. Grosse H., Klimcik C., and Presnajder P. Finite quantum field theory in noncommutative geometry. Commun. Math. Phys. 180 (1996) 429. arXiv:hep-th/9602115
129. Arkani-Hamed N., Cohen A.G., Kaplan D.B., Karch A., and Motl L. Deconstructing (2, 0) and little string theories. J. High Energy Phys. JHEP 0301 (2003) 083. arXiv:hep-th/0110146
130. Fayyazuddin A., Husain T.Z., and Jatkar D.P. One dimensional M 5-brane intersections. Phys. Rev. D 71 (2005) 106003. arXiv:hep-th/0407129
131. Gowdigere C.N., Nemeschansky D., and Warner N.P. Supersymmetric solutions with fluxes from algebraic Killing spinors. Adv. Theor. Math. Phys. 7 (2004) 787. arXiv:hep-th/0306097
132. Lunin O. 1/2-BPS states in M theory and defects in the dual CFTs. arXiv:hep-th/0704.3442
133. Lunin O. Strings ending on branes from supergravity. arXiv:hep-th/0706.3396
134. Gustavsson A. Loop space, (2, 0) theory, and solitonic strings. J. High Energy Phys. JHEP 0612 (2006) 066. arXiv:hep-th/0608141
135. Gustavsson A. The non-Abelian tensor multiplet in loop space. J. High Energy Phys. JHEP 0601 (2006) 165. arXiv:hep-th/0512341
136. Bekaert X., Henneaux M., and Sevrin A. Chiral forms and their deformations. Commun. Math. Phys. 224 (2001) 683. arXiv:hep-th/0004049
137. Maldacena J.M., Sheikh-Jabbari M.M., and Van Raamsdonk M. Transverse five-branes in matrix theory. J. High Energy Phys. JHEP 0301 (2003) 038. arXiv:hep-th/0211139