Open membranes, y;-bra n es and noncommutativity of boundary string coordinates

Journal of High Energy Physics

Volumn 5, Issue 4, 2001, Pages

  Das, Ashok ^a   Melikyan, Arsen ^b   Maharana, Jnanadeva ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

^b ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

M theory; Non commutative geometry; P branes

Indexed keywords

EID: 33744766246     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. 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];
2. M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165];
3. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031];
4. A. Schwarz, Marita equivalence and duality, Nucl. Phys. B 534 (1998) 720 [hep-th/9805034];
5. C. Hofman and E. Ver linde, U-duality of Born-Infeld on the noncommutative two-torus, J. High Energy Phys. 12 (1998) 010 [hep-th/9810116];
6. V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205].
7. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
8. R. Gopakumar, S. Minwalla, N. Seiberg and A. Strominger, OM theory in diverse dimensions, J. High Energy Phys. 08 (2000) 008 [hep-th/0006062].
9. E. Bergshoeff, D.S. Bernian, J.P. van der Schaar and P. Sundell, A noncommutative M-theory five-brane, Nucl. Phys. B 590 (2000) 173 [hep-th/0005026];
10. Critical fields on the M5-brane and noncommutative open strings, Phys. Lett. B 492 (2000) 193 [hep-th/0006112];
11. See also H. Larsson and P. Sundell, Open string/open D-brane dualities: old and new, hep-th/0103188.
12. S. Kawamoto and N. Sasakura, Open membranes in a constant c-field background and noncommutative boundary strings, J. High Energy Phys. 07 (2000) 014 [hep-th/0005123].
13. E. Bergshoeff, L.A. J. London and P.K. Townsend, Space-time scale invariance and the superp-brane, Class, and Quant. Grav. 9 (1992) 2545 [hep-th/9206026].
14. J. Maharana, Hidden symmetries of M-theory, Phys. Lett. B 427 (1998) 33 [hep-th/9801181];
15. A. Ghosh and J. Maharana, Ward identity for membranes, Phys. Lett. B 454 (1999) 228 [hep-th/9903105].
16. P.A.M. Dirac, Lectures on quantum mechanics, Yeshiva University; A. Hanson, T. Regge and C. Teitelboim, Constrained hamiltonian systems, RX-748, 1976 contributions to Lincei Interdisciplinary Center for Mathematical Sciences and their Applications, no. 22.
17. F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Dirac quantization of open strings and noncommutativity in branes, Nucl. Phys. B 576 (2000) 578 [hep-th/9906161];
18. M.M. Sheikh-Jabbari and A. Shirzad, Boundary conditions as Dirac constraints, hep-th/9907055;
19. C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219];
20. Constrained quantization of open string in background B-field and noncommutative D-brane, Nucl. Phys. B 568 (2000) 447 [hep-th/9906192];
21. T. Lee, Canonical quantization of open string and noncommutative geometry, Phys. Rev. D 62 (2000) 024022 [hep-th/9911140].
22. P. Brax and J. Mourad, Open supermembranes in eleven dimensions, Phys. Lett. B 408 (1997) 142 [hep-th/9704165];
23. B. de Wit, K. Peeters and J.C. Plefka, Open and closed supermembranes with winding, Nud. Phys. 68 (Proc. Suppl.) (1998) 206 [hep-th/9710215];
24. M. Cederwall, Boundaries of 11-dimensional membranes, Mod. Phys. Lett. A 12 (1997) 2641 [hep-th/9704161].
25. P. Horava and E. Witten, Heterotic and type-I string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209].
26. J. Goniis and T. Mehen, Space-time noncommutative field theories and unitarity, Nucl. Phys. B 591 (2000) 265 [hep-th/0005129].
27. G. 't Hooft, Horizon operator approach to black hole quantization, gr-qc/9402037; The scattering matrix approach for the quantum black hole: an overview, Int. J. Mod. Phys. A 11 (1996) 4623 [gr-qc/9607022].
28. T. Yoneya, String theory and space-time uncertainty principle, Prog. Theor. Phys. 103 (2000) 1081 [hep-th/0004074].
29. L. Susskind, Strings, black holes and Lorentz contraction, Phys. Rev. D 49 (1994) 6606 [hep-th/9308139].
30. M.J. Duff, P.S. Howe, T. Inanii and K.S. Stelle, Superstrings in D = 10 from supermembranes in D = 11, Phys. Lett. B 191 (1987) 70.
31. M. Cederwall and P.K. Townsend, The manifestly SL(2,ℤ,)-covariant superstring, J. High Energy Phys. 09 (1997) 003 [hep-th/9709002];
32. see also P.K. Townsend, World sheet electromagnetism and the superstring tension, Phys. Lett. B 277 (1992) 285.
33. L. Cornalba and R. Schiappa, Nonassociative star product deformations for D-brane woridvolumes in curved backgrounds, hep-th/0101219.
34. M. Kontsevich, Deformation quantization of Poisson manifolds, 1, q-alg/9709040.
35. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253.
36. B. Zwiebach, Closed string field theory: an introduction, hep-th/9305026.