Volume preserving diffeomorphism and noncommutative branes

Journal of High Energy Physics

Volumn 5, Issue 2, 2001, Pages

  Matsuo, Yutaka ^a   Shibusa, Yuuichirou ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

M Theory; Non Commutative Geometry; P branes

Indexed keywords

EID: 33744865670     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/02/006     Document Type: Article

References (23)

1. T. Banks, W. Fischler, S. H. Shenker, L. Susskind, M theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043]].
2. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large-N reduced model as superstring, Nucl. Phys. B 498 (1997) 467 [hep-th/9612115].
3. B.de Wit, J. Hoppe and H. Nicolai, On the quantum mechanics of supermembranes, Nucl. Phys. B 305 (1988) 545.
4. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
5. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
6. E. Bergsheff, E. Sezgin, Y. Tanii and P.K. Townsend, Super P-branes as gauge theories of volume preserving diffeomorphisms, Ann. Phys. (NY) 199 (1990) 340.
7. Y. Nambu, Generalized hamiltonian dynamics, Phys. Rev. D 7 (1973) 2405.
8. L. Takhtajan, On foundation of the generalized nambu mechanics (second version), Comm. Math. Phys. 160 (1994) 295 [hep-th/9301111];
9. G. Dito, M. Flato, D. Sternheimer and L. Takhtajan, Deformation quantization and nambu mechanics, Comm. Math. Phys. 183 (1997) 1 [hep-th/9602016].
10. C.-S. Chu, P.-M. Ho and M. Li, Matrix theory in a constant c field background, Nucl. Phys. B 574 (2000) 275 [hep-th/9911153].
11. E. Bergshoeff, D.S. Berman, J.P. van der Schaar and P. Sundell, A noncommutative M-theory five-brane, Nucl. Phys. B 590 (2000) 173 [hep-th/0005026].
12. S. Kawamoto and N. Sasakura, Open membranes in a constant C-field back-ground and noncommutative boundary strings, J. High Energy Phys. 07 (2000) 014 [hep-th/0005123].
13. F. Lund and T. Regge, Unified approach to strings and vortices with soliton solutions, Phys. Rev. D 14 (1976) 1524.
14. See for example, V. Arnold, Mathematical Methods in Classical Mechanics, Appendix 2., Springer Verlag 1989.
15. C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219].
16. A.M. Polyakov, Fermi-Bose transmutations induced by gauge fields, Mod. Phys. Lett. A 3 (1988) 325.
17. Y.S. Wu and A. Zee, Membranes, higher hopf maps and phase interactions, Phys. Lett. B 207 (1988) 39;
18. C.-H. Tze, Manifold splitting regularization, selflinking, twisting, writhing numbers of space-time ribbons and polyakov's Fermi-Bose transmutations, Int. J. Mod. Phys. A 3 (1988) 1959.
19. H. Awata, M. Li, D. Minic and T. Yoneya, On the quantization of nambu brackets, [hep-th/9906248].
20. Y. Matsuo, Hopf term, loop algebras and three-dimensional Navier- Stokes equation, Mod. Phys. Lett. A 8 (1993) 2677 [hep-th/9305151].
21. A. Giveon, D. Kutasov and N. Seiberg, Comments on string theory on AdS(3), Adv. Theor. Math. Phys. 2 (1998) 733 [hep-th/9806194].
22. E. Witten, Some comments on string dynamics, [hep-th/9507121];
23. N. Seiberg and E. Witten, Comments on string dynamics in six dimensions, Nucl. Phys. B 471 (1996) 121 [hep-th/9603003].