Supersymmetric reduced models with a symmetry based on Filippov algebra

Journal of High Energy Physics

Volumn 2009, Issue 5, 2009, Pages

  Furuuchi, Kazuyuki ^a   Tomino, Dan ^a  

^a NATIONAL CENTER FOR THEORETICAL SCIENCES   (Taiwan)

Author keywords

Extended supersymmetry; M(atrix) theories; Non Commutative geometry; P branes

Indexed keywords

EID: 67649512606     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/05/070     Document Type: Article

References (29)

1. C.-N. Yang and R.L. Mills, 1954 Conservation of isotopic spin and isotopic gauge invariance, Phys. Rev. 96 191
2. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, 1997 M theory as a matrix model: a conjecture, Phys. Rev. D 55 5112 [hep-th/9610043]
3. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, 1997 A large-N reduced model as superstring, Nucl. Phys. B 498 467 [hep-th/9612115]
4. V.T. Filippov, 1985 n-Lie algebras Sib. Mat. Zh. 26 126
5. 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]
6. J. Bagger and N. Lambert, 2007 Modeling multiple M2's, Phys. Rev. D 75 045020 [hep-th/0611108]
7. J. Bagger and N. Lambert, 2008 Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 065008 [0711.0955]
8. A. Gustavsson, 2009 Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 66 [0709.1260]
9. Y. Nambu, 1973 Generalized Hamiltonian dynamics, Phys. Rev. D 7 2405
10. T. Curtright and C.K. Zachos, 2003 Classical and quantum Nambu mechanics, Phys. Rev. D 68 085001 [hep-th/0212267]
11. P.-M. Ho and Y. Matsuo, 2008 M5 from M2 J. High Energy Phys. JHEP06(2008)105 [0804.3629]
12. 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]
13. J.-H. Park and C. Sochichiu, Single M5 to multiple M2: taking off the square root of Nambu-Goto action, [0806.0335]
14. K. Furuuchi, S.-Y.D. Shih and T. Takimi, 2008 M-theory superalgebra from multiple membranes J. High Energy Phys. JHEP08(2008)072 [0806.4044]
15. I.A. Bandos and P.K. Townsend, 2008 Light-cone M5 and multiple M2-branes, Class. Quant. Grav. 25 245003 [0806.4777]
16. G. Bonelli, A. Tanzini and M. Zabzine, 2009 Topological branes, p-algebras and generalized Nahm equations, Phys. Lett. B 672 390 [0807.5113]
17. A. Schild, 1977 Classical null strings, Phys. Rev. D 16 1722
18. P.-M. Ho, R.-C. Hou and Y. Matsuo, 2008 Lie 3-Algebra and multiple M2-branes J. High Energy Phys. JHEP06(2008)020 [0804.2110]
19. A. Achucarro, J.M. Evans, P.K. Townsend and D.L. Wiltshire, 1987 Super p-branes, Phys. Lett. B 198 441
20. B. de Wit, J. Hoppe and H. Nicolai, 1988 On the quantum mechanics of supermembranes, Nucl. Phys. B 305 545
21. E. Bergshoeff, E. Sezgin, Y. Tanii and P.K. Townsend, 1990 Super p-branes as gauge theories of volume preserving diffeomorphisms, Ann. Phys. 199 340
22. M.P. Blencowe and M.J. Duff, 1988 Supermembranes and the signature of space-time, Nucl. Phys. B 310 387
23. E. Bergshoeff, E. Sezgin and P.K. Townsend, 1987 Supermembranes and eleven-dimensional supergravity, Phys. Lett. B 189 75
24. M. Sato, Covariant formulation of M-theory I, [0902.1333]
25. T. Yoneya, 1997 Schild action and space-time uncertainty principle in string theory, Prog. Theor. Phys. 97 949 [hep-th/9703078]
26. c = 2 IIB matrix model, Prog. Theor. Phys. 99 321 [hep-th/9711073]
27. G.W. Moore, N. Nekrasov and S. Shatashvili, 2000 D-particle bound states and generalized instantons, Commun. Math. Phys. 209 77 [hep-th/9803265]
28. D. Tomino, 2004 N = 2 3d-matrix integral with Myers term J. High Energy Phys. JHEP01(2004)062 [hep-th/0309264]
29. T. Kugo and P.K. Townsend, 1983 Supersymmetry and the division algebras, Nucl. Phys. B 221 357