The relaxed three-algebras: Their matrix representation and implications for multi M2-brane theory

Journal of High Energy Physics

Volumn 2008, Issue 12, 2008, Pages

  Ali Akbari, M ^a,b   Sheikh Jabbari, M M ^a   Simon J ^c  

^a INSTITUTE FOR RESEARCH IN FUNDAMENTAL SCIENCES IPM   (Iran)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^c MAXWELL INSTITUTE FOR MATHEMATICAL SCIENCES   (United Kingdom)

Author keywords

AdS CFT correspondence; M theory

Indexed keywords

EID: 62649098360     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/12/037     Document Type: Article

References (41)

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. A. Gustavsson, Algebraic structures on parallel M2-branes [0709.1260]
4. A. Gustavsson, Selfdual strings and loop space Nahm equations 2008 J. High Energy Phys. JHEP04(2008)083 [0802.3456]
5. J.H. Schwarz, Superconformal Chern-Simons theories 2004 J. High Energy Phys. JHEP11(2004)078 [hep-th/0411077]
6. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [1999 Int. J. Theor. Phys. 38 1113 ] [hep-th/9711200]
7. J. Hoppe, On M-Algebras, the Quantisation of Nambu-Mechanics and Volume Preserving Diffeomorphisms 1997 Helv. Phys. Acta 70 302 [hep-th/9602020]
8. 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]
9. C.K. Zachos, Membranes and consistent quantization of Nambu dynamics 2003 Phys. Lett. B 570 82 [hep-th/0306222]
10. T. Curtright and C.K. Zachos, Quantizing Dirac and Nambu brackets 2003 AIP Conf. Proc. 672 165 [hep-th/0303088]
11. T. Curtright and C.K. Zachos, Classical and quantum Nambu mechanics 2003 Phys. Rev. D 68 085001 [hep-th/0212267]
12. T. Curtright and C.K. Zachos, Branes, strings and odd Quantum Nambu brackets [hep-th/0312048]
13. J.M. Isidro and P. Fernandez de Codoba, Quantum dynamics on the worldvolume from classical SU(N) cohomology, 2008 SIGMA 4 040 [0804.1060]
14. Y. Nambu, Generalized Hamiltonian dynamics 1973 Phys. Rev. D 7 2405
15. L. Takhtajan, On Foundation of the generalized Nambu mechanics (second version) 1994 Comm. Math. Phys. 160 295 [hep-th/9301111]
16. M. Axenides and E. Floratos, Euler top dynamics of Nambu-Goto p-branes 2007 J. High Energy Phys. JHEP03(2007)093 [hep-th/0608017]
17. M.M. Sheikh-Jabbari, Tiny graviton matrix theory: DLCQ of IIB plane-wave string theory, a conjecture 2004 J. High Energy Phys. JHEP09(2004)017 [hep-th/0406214]
18. J. Bagger and N. Lambert, Three-algebras and N = 6 Chern-Simons gauge theories [0807.0163]
19. S. Cherkis and C. Sämann, Multiple M2-branes and generalized 3-Lie algebras 2008 Phys. Rev. D 78 066019 [0807.0808]
20. 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]
21. G. Papadopoulos, M2-branes, 3-Lie algebras and Plucker relations 2008 J. High Energy Phys. JHEP05(2008)054 [0804.2662]
22. J.P. Gauntlett and J.B. Gutowski, Constraining maximally supersymmetric membrane actions [0804.3078]
23. J. Gomis, G. Milanesi and J.G. Russo, Bagger-Lambert theory for general Lie algebras 2008 J. High Energy Phys. JHEP06(2008)075 [0805.1012]
24. S. Benvenuti, D. Rodriguez-Gomez, E. Tonni and H. Verlinde, N = 8 superconformal gauge theories and M2 branes [0805.1087]
25. S. Mukhi and C. Papageorgakis, M2 to D2 2008 J. High Energy Phys. JHEP05(2008)085 [0803.3218]
26. U. Gran, B.E.W. Nilsson and C. Petersson, On relating multiple M2 and D2-branes 2008 J. High Energy Phys. JHEP10(2008)067 [0804.1784]
27. P.-M. Ho, Y. Imamura and Y. Matsuo, M2 to D2 revisited 2008 J. High Energy Phys. JHEP07(2008)003 [0805.1202]
28. P. De Medeiros, J.M. Figueroa-O'Farrill and E. Mendez-Escobar, Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space 2008 J. High Energy Phys. JHEP07(2008)111 [0805.4363]
29. P. De Medeiros, J.M. Figueroa-O'Farrill and E. Mendez-Escobar, Metric Lie 3-algebras in Bagger-Lambert theory 2008 J. High Energy Phys. JHEP08(2008)045 [0806.3242]
30. S. Cecotti and A. Sen, Coulomb Branch of the Lorentzian Three Algebra Theory [0806.1990]
31. S. Banerjee and A. Sen, Interpreting the M2-brane Action [0805.3930]
32. M.A. Bandres, A.E. Lipstein and J.H. Schwarz, Ghost-Free superconformal action for multiple M2-branes 2008 J. High Energy Phys. JHEP07(2008)117 [0806.0054]
33. J. Gomis, D. Rodriguez-Gomez, M. Van Raamsdonk and H. Verlinde, Supersymmetric Yang-Mills theory from lorentzian three-algebras 2008 J. High Energy Phys. JHEP08(2008)094 [0806.0738]
34. B. Ezhuthachan, S. Mukhi and C. Papageorgakis, D2 to D2 2008 J. High Energy Phys. JHEP07(2008)041 [0806.1639]
35. J. Polchinski, String theory Vol. I, section 4, (Cambridge University Press, Cambridge) U.K. (1998)
36. M.M. Sheikh-Jabbari and M. Torabian, Classification of all 1/2 BPS solutions of the tiny graviton matrix theory 2005 J. High Energy Phys. JHEP04(2005)001 [hep-th/0501001]
37. N. Lambert and D. Tong, Membranes on an orbifold 2008 Phys. Rev. Lett. 101 041602 [0804.1114]
38. 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]
39. J. Bagger and N. Lambert, Comments on multiple M2-branes 2008 J. High Energy Phys. JHEP02(2008)105 [0712.3738]
40. M. Ali-Akbari, M.M. Sheikh-Jabbari and J. Simón, Work in progress
41. E. Witten, Bound states of strings and p-branes 1996 Nucl. Phys. B 460 335 [hep-th/9510135]