The fuzzy S 2 structure of M2-M5 systems in ABJM membrane theories

Journal of High Energy Physics

Volumn 2009, Issue 5, 2009, Pages

  Nastase, Horatiu ^a   Papageorgakis, Constantinos ^b   Ramgoolam, Sanjaye ^c  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^c QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

AdS CFT correspondence; D branes; M(atrix) theories; Non commutative geometry

Indexed keywords

EID: 70349870437     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/05/123     Document Type: Article

References (98)

1. J. Bagger and N. Lambert, 2007 Modeling multiple M2's, Phys. Rev. D 75 045020 [hep-th/0611108]
2. J. Bagger and N. Lambert, 2008 Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 065008 [0711.0955]
3. J. Bagger and N. Lambert, 2008 Comments on multiple M2-branes J. High Energy Phys. JHEP02(2008)105 [0712.3738]
4. A. Gustavsson, 2009 Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 66 [0709.1260]
5. J.H. Schwarz, 2004 Superconformal Chern-Simons theories J. High Energy Phys. JHEP11(2004)078 [hep-th/0411077]
6. A. Basu and J.A. Harvey, 2005 The M2-M5 brane system and a generalized Nahm's equation, Nucl. Phys. B 713 136 [hep-th/0412310]
7. S. Mukhi and C. Papageorgakis, 2008 M2 to D2 J. High Energy Phys. JHEP05(2008)085 [0803.3218]
8. M.A. Bandres, A.E. Lipstein and J.H. Schwarz, 2008 N = 8 superconformal Chern-Simons theories J. High Energy Phys. JHEP05(2008)025 [0803.3242]
9. M. Van Raamsdonk, 2008 Comments on the Bagger-Lambert theory and multiple M2-branes J. High Energy Phys. JHEP05(2008)105 [0803.3803]
10. N. Lambert and D. Tong, 2008 Membranes on an orbifold, Phys. Rev. Lett. 101 041602 [0804.1114]
11. J. Distler, S. Mukhi, C. Papageorgakis and M. Van Raamsdonk, 2008 M2-branes on M-folds J. High Energy Phys. JHEP05(2008)038 [0804.1256]
12. D. Gaiotto and E. Witten, Janus configurations, Chern-Simons couplings and the theta-angle in N=4 super Yang-Mills theory, [0804.2907]
13. K. Hosomichi, K.-M. Lee, S. Lee, S. Lee and J. Park, 2008 N=4 superconformal Chern-Simons theories with hyper and twisted hyper multiplets J. High Energy Phys. JHEP07(2008)091 [0805.3662]
14. O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, 2008 N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals J. High Energy Phys. JHEP10(2008)091 [0806.1218]
15. P.S. Howe, N.D. Lambert and P.C. West, 1998 The self-dual string soliton, Nucl. Phys. B 515 203 [hep-th/9709014]
16. N.R. Constable, R.C. Myers and O. Tafjord, 2000 The noncommutative bion core, Phys. Rev. D 61 106009 [hep-th/9911136]
17. N.R. Constable, R.C. Myers and O. Tafjord, 2001 Non-Abelian brane intersections J. High Energy Phys. JHEP06(2001)023 [hep-th/0102080]
18. P.L.H. Cook, R. de Mello Koch and J. Murugan, 2003 Non-Abelian bionic brane intersections, Phys. Rev. D 68 126007 [hep-th/0306250]
19. J. Hoppe, 1982 Quantum theory of a massless relativistic surface and a two-dimensional bound state problem, Ph.D. thesis, http://hdl.handle.net/1721.1/ 15717 Department of Physics, Massachusetts Institute of Technology, Cambridge U.S.A.
20. J. Hoppe, 1989 Diffeomorphism groups, quantization and SU(), Int. J. Mod. Phys. A 4 5235
21. J. Madore, 1992 The fuzzy sphere, Class. Quant. Grav. 9 69
22. R.C. Myers, 1999 Dielectric-branes J. High Energy Phys. JHEP12(1999)022 [hep-th/9910053]
23. S. Iso, Y. Kimura, K. Tanaka and K. Wakatsuki, 2001 Noncommutative gauge theory on fuzzy sphere from matrix model, Nucl. Phys. B 604 121 [hep-th/0101102]
24. K. Dasgupta, M.M. Sheikh-Jabbari and M. Van Raamsdonk, 2002 Matrix perturbation theory for M-theory on a PP-wave J. High Energy Phys. JHEP05(2002)056 [hep-th/0205185]
25. K. Dasgupta, M.M. Sheikh-Jabbari and M. Van Raamsdonk, 2002 Protected multiplets of M-theory on a plane wave J. High Energy Phys. JHEP09(2002)021 [hep-th/0207050]
26. C. Papageorgakis, S. Ramgoolam and N. Toumbas, 2006 Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound states J. High Energy Phys. JHEP01(2006)030 [hep-th/0510144]
27. J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, [hep-th/0003136]
28. * vacua, fuzzy spheres and integrable systems J. High Energy Phys. JHEP07(2002)032 [hep-th/0205151]
29. R.P. Andrews and N. Dorey, 2005 Spherical deconstruction, Phys. Lett. B 631 74 [hep-th/0505107]
30. R.P. Andrews and N. Dorey, 2006 Deconstruction of the Maldacena-Ñez compactification, Nucl. Phys. B 751 304 [hep-th/0601098]
31. I. Bena, 2000 The M-theory dual of a 3 dimensional theory with reduced supersymmetry, Phys. Rev. D 62 126006 [hep-th/0004142]
32. K. Hosomichi, K.-M. Lee, S. Lee, S. Lee and J. Park, 2008 N=5, 6 superconformal Chern-Simons theories and M2-branes on orbifolds J. High Energy Phys. JHEP09(2008)002 [0806.4977]
33. J. Gomis, D. Rodriguez-Gomez, M. Van Raamsdonk and H. Verlinde, 2008 A massive study of M2-brane proposals J. High Energy Phys. JHEP09(2008)113 [0807.1074]
34. S. Terashima, 2008 On M5-branes in N=6 membrane action J. High Energy Phys. JHEP08(2008)080 [0807.0197]
35. K. Hanaki and H. Lin, 2008 M2-M5 systems in N=6 Chern-Simons theory J. High Energy Phys. JHEP09(2008)067 [0807.2074]
36. T. Fujimori, K. Iwasaki, Y. Kobayashi and S. Sasaki, 2008 Time-dependent and non-BPS solutions in N=6 superconformal Chern-Simons theory J. High Energy Phys. JHEP12(2008)023 [0809.4778]
37. M. Arai, C. Montonen and S. Sasaki, 2009 Vortices, Q-balls and domain walls on dielectric M2-branes J. High Energy Phys. JHEP03(2009)119 [0812.4437]
38. A.M. Low, 2009 N=6 membrane worldvolume superalgebra J. High Energy Phys. JHEP04(2009)105 [0903.0988]
39. Z. Guralnik and S. Ramgoolam, 2001 On the polarization of unstable D 0-branes into non-commutative odd spheres J. High Energy Phys. JHEP02(2001)032 [hep-th/0101001]
40. S. Ramgoolam, 2001 On spherical harmonics for fuzzy spheres in diverse dimensions, Nucl. Phys. B 610 461 [hep-th/0105006]
41. S. Ramgoolam, 2002 Higher dimensional geometries related to fuzzy odd-dimensional spheres J. High Energy Phys. JHEP10(2002)064 [hep-th/0207111]
42. T. Azuma and M. Bagnoud, 2003 Curved-space classical solutions of a massive supermatrix model, Nucl. Phys. B 651 71 [hep-th/0209057]
43. 5 background, Nucl. Phys. B 669 363 [hep-th/0303183]
44. B.P. Dolan and D. O'Connor, 2003 A fuzzy three sphere and fuzzy tori J. High Energy Phys. JHEP10(2003)060 [hep-th/0306231]
45. 2, Nucl. Phys. B 679 447 [hep-th/0309212]
46. H. Nastase, On fuzzy spheres and (M)atrix actions, [hep-th/0410137]
47. M.M. Sheikh-Jabbari, 2004 Tiny graviton matrix theory: dLCQ of IIB plane-wave string theory, a conjecture J. High Energy Phys. JHEP09(2004)017 [hep-th/0406214]
48. C. Papageorgakis and S. Ramgoolam, 2006 On time-dependent collapsing branes and fuzzy odd-dimensional spheres, Int. J. Mod. Phys. A 21 6055 [hep-th/0603239]
49. J.M. Maldacena, M.M. Sheikh-Jabbari and M. Van Raamsdonk, 2003 Transverse fivebranes in matrix theory J. High Energy Phys. JHEP01(2003)038 [hep-th/0211139]
50. D.S. Berman, 2008 M-theory branes and their interactions, Phys. Rept. 456 89 [0710.1707]
51. N.B. Copland, Aspects of M-theory brane interactions and string theory symmetries, [0707.1317]
52. D.S. Berman, L.C. Tadrowski and D.C. Thompson, 2008 Aspects of multiple membranes, Nucl. Phys. B 802 106 [0803.3611]
53. P.-M. Ho, Y. Imamura and Y. Matsuo, 2008 M2 to D2 revisited J. High Energy Phys. JHEP07(2008)003 [0805.1202]
54. P.-M. Ho, Y. Imamura, Y. Matsuo and S. Shiba, 2008 M5-brane in three-form flux and multiple M2-branes J. High Energy Phys. JHEP08(2008)014 [0805.2898]
55. P.-M. Ho and Y. Matsuo, 2008 M5 from M2 J. High Energy Phys. JHEP06(2008)105 [0804.3629]
56. I.A. Bandos and P.K. Townsend, 2008 Light-cone M5 and multiple M2-branes, Class. Quant. Grav. 25 245003 [0806.4777]
57. C.-S. Chu and D.J. Smith, 2009 Towards the quantum geometry of the M5-brane in a constant C-field from multiple membranes J. High Energy Phys. JHEP04(2009)097 [0901.1847]
58. G. Bonelli, A. Tanzini and M. Zabzine, 2009 Topological branes, p-algebras and generalized Nahm equations, Phys. Lett. B 672 390 [0807.5113]
59. C. Krishnan and C. Maccaferri, 2008 Membranes on calibrations J. High Energy Phys. JHEP07(2008)005 [0805.3125]
60. C. Krishnan and C. Maccaferri, Membranes, strings and integrability, [0810.3825]
61. G. Papadopoulos, 2008 M2-branes, 3-Lie algebras and Plücker relations J. High Energy Phys. JHEP05(2008)054 [0804.2662]
62. J.P. Gauntlett and J.B. Gutowski, Constraining maximally supersymmetric membrane actions, [0804.3078]
63. S. Benvenuti, D. Rodriguez-Gomez, E. Tonni and H. Verlinde, 2009 N=8 superconformal gauge theories and M2 branes J. High Energy Phys. JHEP01(2009)078 [0805.1087]
64. J. Gomis, G. Milanesi and J.G. Russo, 2008 Bagger-Lambert theory for general Lie algebras J. High Energy Phys. JHEP06(2008)075 [0805.1012]
65. M.A. Bandres, A.E. Lipstein and J.H. Schwarz, 2008 Ghost-free superconformal action for multiple M2-branes J. High Energy Phys. JHEP07(2008)117 [0806.0054]
66. J. Gomis, D. Rodriguez-Gomez, M. Van Raamsdonk and H. Verlinde, 2008 Supersymmetric Yang-Mills theory from Lorentzian three-algebras J. High Energy Phys. JHEP08(2008)094 [0806.0738]
67. B. Ezhuthachan, S. Mukhi and C. Papageorgakis, 2008 D2 to D2 J. High Energy Phys. JHEP07(2008)041 [0806.1639]
68. H. Verlinde, D2 or M2? A note on membrane scattering, [0807.2121]
69. S. Cecotti and A. Sen, Coulomb branch of the Lorentzian three algebra theory, [0806.1990]
70. E. Antonyan and A.A. Tseytlin, 2009 On 3 D N=8 Lorentzian BLG theory as a scaling limit of 3 D superconformal N=6 ABJM theory, Phys. Rev. D 79 046002 [0811.1540]
71. Y. Honma, S. Iso, Y. Sumitomo and S. Zhang, 2008 Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories, Phys. Rev. D 78 105011 [0806.3498]
72. Y. Honma, S. Iso, Y. Sumitomo, H. Umetsu and S. Zhang, 2009 Generalized conformal symmetry and recovery of SO(8) in multiple M2 and D2 branes, Nucl. Phys. B 816 256 [0807.3825]
73. J. Kluson, 2009 Remark about scaling limit of ABJ theory J. High Energy Phys. JHEP04(2009)112 [0902.4122]
74. O. Aharony, O. Bergman and D.L. Jafferis, 2008 Fractional M2-branes J. High Energy Phys. JHEP11(2008)043 [0807.4924]
75. J. Bagger and N. Lambert, 2009 Three-algebras and N=6 Chern-Simons gauge theories, Phys. Rev. D 79 025002 [0807.0163]
76. M. Schnabl and Y. Tachikawa, Classification of N=6 superconformal theories of ABJM type, [0807.1102]
77. 3 correspondence J. High Energy Phys. JHEP09(2008)072 [0806.1519]
78. T. Ishii, G. Ishiki, S. Shimasaki and A. Tsuchiya, 2008 N=4 super Yang-Mills from the plane wave matrix model, Phys. Rev. D 78 106001 [0807.2352]
79. D.E. Berenstein, J.M. Maldacena and H.S. Nastase, 2002 Strings in flat space and pp waves from N=4 super Yang-Mills J. High Energy Phys. JHEP04(2002)013 [hep-th/0202021]
80. R. Jackiw and C. Rebbi, 1976 Spin from isospin in a gauge theory, Phys. Rev. Lett. 36 1116
81. S.R. Das and A. Jevicki, 1990 String field theory and physical interpretation of D=1 strings, Mod. Phys. Lett. A 5 1639
82. B. Ezhuthachan, S. Mukhi and C. Papageorgakis, 2009 The power of the Higgs mechanism: higher-derivative BLG theories J. High Energy Phys. JHEP04(2009)101 [0903.0003]
83. Y. Pang and T. Wang, 2008 From N M2's to N D2's, Phys. Rev. D 78 125007 [0807.1444]
84. T. Li, Y. Liu and D. Xie, Multiple D2-brane action from M2-branes, [0807.1183]
85. M. Nakahara, 1990 Geometry, topology and physics, Graduate student series in physics, Hilger, Bristol U.K. [http://www.slac.stanford.edu/spires/find/hep/ www?irn=2325446]
86. T. Ishii, G. Ishiki, S. Shimasaki and A. Tsuchiya, 2008 Fiber bundles and matrix models, Phys. Rev. D 77 126015 [0802.2782]
87. A.P. Balachandran, S. Kurkcuoglu and S. Vaidya, Lectures on fuzzy and fuzzy SUSY physics, [hep-th/0511114]
88. D.N. Kabat and W. Taylor, 1998 Spherical membranes in matrix theory Adv. Theor. Math. Phys. 2 181 [hep-th/9711078]
89. C.-S. Chu, P.-M. Ho, Y. Matsuo and S. Shiba, 2008 Truncated Nambu-Poisson bracket and entropy formula for multiple membranes J. High Energy Phys. JHEP08(2008)076 [0807.0812]
90. I.A. Bandos and P.K. Townsend, 2009 SDiff gauge theory and the M2 condensate J. High Energy Phys. JHEP02(2009)013 [0808.1583]
91. J.M. Maldacena and C. Ñez, 2001 Towards the large-N limit of pure N=1 super Yang-Mills, Phys. Rev. Lett. 86 588 [hep-th/0008001]
92. J.M. Maldacena and H.S. Nastase, 2001 The supergravity dual of a theory with dynamical supersymmetry breaking J. High Energy Phys. JHEP09(2001)024 [hep-th/0105049]
93. C.N. Pope and N.P. Warner, 2004 A dielectric flow solution with maximal supersymmetry J. High Energy Phys. JHEP04(2004)011 [hep-th/0304132]
94. I. Bena and N.P. Warner, 2004 A harmonic family of dielectric flow solutions with maximal supersymmetry J. High Energy Phys. JHEP12(2004)021 [hep-th/0406145]
95. H. Lin, O. Lunin and J.M. Maldacena, 2004 Bubbling AdS space and 1/2 BPS geometries J. High Energy Phys. JHEP10(2004)025 [hep-th/0409174]
96. S.R. Das, A. Jevicki and S.D. Mathur, 2001 Vibration modes of giant gravitons, Phys. Rev. D 63 024013 [hep-th/0009019]
97. K. Hosomichi et al., 2008 A nonperturbative test of M2-brane theory J. High Energy Phys. JHEP11(2008)058 [0809.1771]
98. T. Hirayama and D. Tomino, Membrane scattering from Bagger-Lambert theory, [0812.1866]