M5 from M2

Journal of High Energy Physics

Volumn 2008, Issue 6, 2008, Pages

  Ho, Pei Ming ^a   Matsuo, Yutaka ^b  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Brane dynamics in gauge theories; M theory

Indexed keywords

EID: 47249125746     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/06/105     Document Type: Article

References (65)

1. J. Bagger and N. Lambert, Modeling multiple M2's 2007 Phys. Rev. D 75 045020 [hep-th/0611108]
2. J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes 2008 Phys. Rev. D 77 065008 [0711.0955]
3. J. Bagger and N. Lambert, Comments on multiple M2-branes 2008 J. High Energy Phys. JHEP02(2008)105 [0712.3738]
4. A. Gustavsson, Algebraic structures on parallel M2-branes [0709.1260]
5. A. Gustavsson, Selfdual strings and loop space Nahm equations 2008 J. High Energy Phys. JHEP04(2008)083 [0802.3456]
6. V.T. Filippov, n-Lie algebras 1985 Sib. Mat. Zh. 26 126
7. Y. Kawamura, Cubic matrix, generalized spin algebra and uncertainty relation 2003 Prog. Theor. Phys. 110 579 [hep-th/0304149]
8. J. Figueroa-O'Farrill and G. Papadopoulos, Plücker-type relations for orthogonal planes [math.AG/0211170]
9. M.A. Bandres, A.E. Lipstein and J.H. Schwarz, N = 8 superconformal Chern-Simons theories 2008 J. High Energy Phys. JHEP05(2008)025 [0803.3242]
10. P.-M. Ho, R.-C. Hou and Y. Matsuo, Lie 3-algebra and multiple M2-branes [0804.2110]
11. G. Papadopoulos, M2-branes, 3-Lie algebras and Plücker relations 2008 J. High Energy Phys. JHEP05(2008)054 [0804.2662]
12. J.P. Gauntlett and J.B. Gutowski, Constraining maximally supersymmetric membrane actions [0804.3078]
13. H. Awata, M. Li, D. Minic and T. Yoneya, On the quantization of Nambu brackets 2001 J. High Energy Phys. JHEP02(2001)013 [hep-th/9906248]
14. Y. Nambu, Generalized Hamiltonian dynamics 1973 Phys. Rev. D 7 2405
15. For example, L. Takhtajan, On foundation of the generalized Nambu mechanics (second version) 1994 Comm. Math. Phys. 160 295 [hep-th/9301111]
16. G. Dito, M. Flato, D. Sternheimer and L. Takhtajan, Deformation quantization and Nambu mechanics 1997 Comm. Math. Phys. 183 1 [hep-th/9602016]
17. J. Hoppe, On M-algebras, the quantisation of Nambu-mechanics and volume preserving diffeomorphisms 1997 Helv. Phys. Acta 70 302 [hep-th/9602020]
18. E. Bergshoeff, D.S. Berman, J.P. van der Schaar and P. Sundell, A noncommutative M-theory five-brane 2000 Nucl. Phys. B 590 173 [hep-th/0005026]
19. S. Kawamoto and N. Sasakura, Open membranes in a constant C-field background and noncommutative boundary strings 2000 J. High Energy Phys. JHEP07(2000)014 [hep-th/0005123]
20. Y. Matsuo and Y. Shibusa, Volume preserving diffeomorphism and noncommutative branes 2001 J. High Energy Phys. JHEP02(2001)006 [hep-th/0010040]
21. Y. Kawamura, Cubic matrix, Nambu mechanics and beyond 2003 Prog. Theor. Phys. 109 153 [hep-th/0207054]
22. B. Pioline, Comments on the topological open membrane 2002 Phys. Rev. D 66 025010 [hep-th/0201257]
23. A. De Castro, M.P. Garcia del Moral, I. Martin and A. Restuccia, M5-brane as a Nambu-Poisson geometry of a multi D1-brane theory 2004 Phys. Lett. B 584 171 [hep-th/0306094]
24. T.L. Curtright and C.K. Zachos, Deformation quantization of superintegrable systems and Nambu mechanics 2002 New J. Phys. 4 83 [hep-th/0205063]
25. T.L. Curtright and C.K. Zachos, Classical and quantum Nambu mechanics 2003 Phys. Rev. D 68 085001 [hep-th/0212267]
26. D.S. Berman, M-theory branes and their interactions 2008 Phys. Rep. 456 89 [0710.1707]
27. M. Schlesinger and J.D. Stasheff, The Lie algebra structure of tangent cohomology and deformation theory 1995 J. Pure Appl. Algebra 38 (1985) 313
28. P. Hanlon and M.L. Wachs, On Lie k-algebras Adv. Math. 113 206
29. J.A. de Azcrraga, A.M. Perelomov and J.C. Pérez Bueno, New generalized poisson structures 1996 J. Phys. A: Math. Gen. 29 L151 [q-alg/9601007]
30. J.A. de Azcrraga, A.M. Perelomov and J.C. Pérez Bueno, The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures 1996 J. Phys. A: Math. Gen. 29 7993 [hep-th/9605067]
31. J.A. de Azcrraga, A.M. Perelomov and J.C. Pérez Bueno, On the generalizations of Poisson structures 1997 J. Phys. A: Math. Gen. 30 L607 [hep-th/9703019]
32. P.W. Michor and A.M. Vinogradov, n-ary Lie and associative algebras 1996 Rend. Sem. Mat. Torino 53 373
33. R. Weitzenbök, Invariantentheorie P. Noordhoff, Gröningen Germany (1923)
34. Ph. Gautheron, Some remarks concerning Nambu mechanics 1996 Lett. Math. Phys. 37 103
35. D. Alekseevsky and P. Guha, On decomposability of Nambu-Poisson tensor 1996 Acta Math. Univ. Commenianae 65 1
36. R. Ibnez, M. de León, J.C. Marrero and D.M. de Diego, Dynamics of generalized Poisson and Nambu-Poisson brackets 1997 J. Math. Phys. 38 2332
37. N. Nakanishi, On Nambu-Poisson manifolds 1998 Rev. Math. Phys. 10 499
38. G. Marmo, G. Vilasi and A.M. Vinogradov, The local structure of n-Poisson and n-Jacobi manifolds 1998 J. Geom. Phys. 25 141
39. I. Vaisman, A survey on Nambu-Poisson brackets 1999 Acta Math. Univ. Comenianae 2 213
40. S. Mukhi and C. Papageorgakis, M2 to D2 2008 J. High Energy Phys. JHEP05(2008)085 [0803.3218]
41. D.S. Berman, L.C. Tadrowski and D.C. Thompson, Aspects of multiple membranes [0803.3611]
42. M. Van Raamsdonk, Comments on the Bagger-Lambert theory and multiple M2-branes 2008 J. High Energy Phys. JHEP05(2008)105 [0803.3803]
43. A. Morozov, On the problem of multiple M2 branes 2008 J. High Energy Phys. JHEP05(2008)076 [0804.0913]
44. N. Lambert and D. Tong, Membranes on an orbifold [0804.1114]
45. J. Distler, S. Mukhi, C. Papageorgakis and M. Van Raamsdonk, M2-branes on M-folds 2008 J. High Energy Phys. JHEP05(2008)038 [0804.1256]
46. U. Gran, B.E.W. Nilsson and C. Petersson, On relating multiple M2 and D2-branes [0804.1784]
47. J. Gomis, A.J. Salim and F. Passerini, Matrix theory of type IIB plane wave from membranes [0804.2186]
48. E.A. Bergshoeff, M. de Roo and O. Hohm, Multiple M2-branes and the embedding tensor [0804.2201]
49. K. Hosomichi, K.-M. Lee and S. Lee, Mass-deformed Bagger-Lambert theory and its BPS objects [0804.2519]
50. G. Papadopoulos, On the structure of k-Lie algebras [0804.3567]
51. C.G. Callan Jr., J.A. Harvey and A. Strominger, Worldbrane actions for string solitons 1991 Nucl. Phys. B 367 60
52. D.M. Kaplan and J. Michelson, Zero modes for the D = 11 membrane and five-brane 1996 Phys. Rev. D 53 3474 [hep-th/9510053]
53. A. Basu and J.A. Harvey, The M2-M5 brane system and a generalized Nahm's equation 2005 Nucl. Phys. B 713 136 [hep-th/0412310]
54. B. de Wit, J. Hoppe and H. Nicolai, On the quantum mechanics of supermembranes 1988 Nucl. Phys. B 305 545
55. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M theory as a matrix model: a conjecture 1997 Phys. Rev. D 55 5112 [hep-th/9610043]
56. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large-N reduced model as superstring 1997 Nucl. Phys. B 498 467 [hep-th/9612115]
57. P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for a D = 11 five-brane with the chiral field 1997 Phys. Lett. B 398 41 [hep-th/9701037]
58. I.A. Bandos et al., Covariant action for the super-five-brane of M-theory 1997 Phys. Rev. Lett. 78 4332 [hep-th/9701149]
59. M. Aganagic, J. Park, C. Popescu and J.H. Schwarz, World-volume action of the M-theory five-brane 1997 Nucl. Phys. B 496 191 [hep-th/9701166]
60. C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane 1999 Nucl. Phys. B 550 151 [hep-th/9812219]
61. C.-S. Chu and P.-M. Ho, Constrained quantization of open string in background B field and noncommutative D-brane 2000 Nucl. Phys. B 568 447 [hep-th/9906192]
62. V. Schomerus, D-branes and deformation quantization 1999 J. High Energy Phys. JHEP06(1999)030 [hep-th/9903205]
63. N. Seiberg and E. Witten, String theory and noncommutative geometry 1999 J. High Energy Phys. JHEP09(1999)032 [hep-th/9908142]
64. P.-M. Ho and Y. Matsuo, A toy model of open membrane field theory in constant 3-form flux 2007 Gen. Rel. Grav. 39 913 [hep-th/0701130]
65. P.-M. Ho, Y. Imamura, Y. Matsuo and S. Shiba, M5-brane in three-form flux and multiple M2-branes [0805.2898]