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Classical and Quantum Supermembranes

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Book cover The Superworld III

Part of the book series: The Subnuclear Series ((SUS,volume 26))

Abstract

I am very pleased to be invited to join the other superdogs barking in Superworld III. In Superworld II I discussed the exciting new discovery of supermembranes [1] and in these lectures I would like to review what has been achieved over the last 12 months. The subject naturally divides into classical supermembranes, which we now understand quite well, and quantum supermembranes, which we now understand much better than a year ago, but which still present many unanswered questions.

“Our universe may be only an atom in the leg of some superdog, barking in a superworld.”

Anatole France

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References

  1. M. J. Duff, “From supersphagetti to superravioli” in Superworld II, Proceedings of the XVth Erice Summer School on Subnuclear Physics, 1987 (Ed. A. Zichichi, Plenum, 1988 ).

    Google Scholar 

  2. P. A. M. Dirac, Proc. R. Soc. A 268 57 (1962).

    Article  CAS  Google Scholar 

  3. Y. Nambu, Lectures at the Copenhagen conference (1970);

    Google Scholar 

  4. T. Goto, Prog. Theor. Phys. 46 1560 (1971).

    Article  Google Scholar 

  5. P. S. Howe and R. W. Tucker, J. Phys. A10, L155 (1987).

    Google Scholar 

  6. A. M. Polyakow, Phys. Lett. 103B 207, 211 (1981).

    Google Scholar 

  7. M. J. Duff, S. Deser and C. J. Isham, Nucl. Phys. B114, 29 (1976).

    Article  Google Scholar 

  8. M. J. Duff, T. Inami, C. N. Pope, E. Sezgin, and K. S. Stelle, Nucl. Phys. B297 515 (1988).

    Article  Google Scholar 

  9. E. Bergshoeff, E. Sezgin and P. K. Townsend, Phys. Lett. B209 451 (1988).

    CAS  Google Scholar 

  10. U. Lindstrom and M. Rocek, Stony Brook preprint ITP-SB-88–61.

    Google Scholar 

  11. J. H. Schwarz, in Supersymmetry and its applications, eds. G. W. Gibbons, S. W. Hawking and P. K. Townsend (C.U.P. 1985 ).

    Google Scholar 

  12. J. Hughes, J. Lui and J. Polchinski, Phys. Lett. 180B 370 (1986).

    CAS  Google Scholar 

  13. E. Bergshoeff, E. Sezgin and P. K. Townsend, Phys. Lett. 189B 75 (1987).

    CAS  Google Scholar 

  14. A. Achucarro, J. M. Evans, P. K. Townsend and D. L. Wiltshire, Phys. Lett. 1988 441 (1987).

    Google Scholar 

  15. G. Sierra, Class. Quantum Gray. 4 227 (1987).

    Article  CAS  Google Scholar 

  16. J. M. Evans, Nucl. Phys. B298 92 (1988).

    Article  Google Scholar 

  17. M. J. Duff, P. S. Howe, T. Inami and K. S. Stelle, Phys. Lett. B191 70 (1987).

    CAS  Google Scholar 

  18. M. J. Duff, B. E. W. Nilson and C. N. Pope, Phys. Rep. 130 1 (1986).

    Article  Google Scholar 

  19. P. G. O. Freund and M. A. Rubin, Phys. Lett. 97B 233 (1980).

    Google Scholar 

  20. E. Bergshoeff, M. J. Duff, C. N. Pope and E. Sezgin. Texas A and M preprint CTP-TAMU-76/88.

    Google Scholar 

  21. K. Kikkawa and M. Yamasaki, Prog. Theor. Phys. 76 116 (1986).

    Article  Google Scholar 

  22. L. Mezincescu, R. Nepomechie and P. van Nieuwenhuizen preprint UMTG139/ITP-SB-84–43.

    Google Scholar 

  23. S. Ghandhi and K. S. Stelle, Class. Quantum Gray. 5 L127 (1988).

    Article  Google Scholar 

  24. E. Bergshoeff, M. J. Duff, C. N. Pope and E. Sezgin, Phys. Lett. B176 69 (1987).

    Google Scholar 

  25. M. P. Blencowe and M. J. Duff, Phys. Lett. B203 229 (1988).

    CAS  Google Scholar 

  26. H. Nicolai, E. Sezgin and Y. Tanii, Trieste preprint IC/88.

    Google Scholar 

  27. C. Fronsdal, Phys. Rev. D26 26 (1981).

    Google Scholar 

  28. E. Bergshoeff, A. Salam, E. Sezgin and Y. Tanii, Trieste preprint IC/88/5.

    Google Scholar 

  29. M. Gunaydin, B. E. W. Nilson, G. Sierra and P. K. Townsend Phys. Lett. 176B 45 (1986).

    CAS  Google Scholar 

  30. M. J. Duff, P. K. Townsend and P. van Nieuwenhuizen. Phys. Lett. 122E 232 (1983).

    Google Scholar 

  31. D. Z. Freedman, G. W. Gibbons and P. C. West, Phys. Lett. 124B 491 (1983).

    Google Scholar 

  32. M. P. Blencowe and M. J. Duff, Nucl. Phys. 8310 387 (1988).

    Article  Google Scholar 

  33. T. Kugo and P. K. Townsend, Nucl. Phys. B266 440 (1983).

    Google Scholar 

  34. P. van Nieuwenhuizen, in Relativity, croups and Topology II. Eds. DeWitt and Stora, North-Holland 1983.

    Google Scholar 

  35. R. Coquereaux, Phys. Lett. 115B (1982) 389.

    Google Scholar 

  36. P. G. O. Freund, Introduction to Supersymmetry (C.U.P. 1986 ).

    Google Scholar 

  37. U. Lindstrom and G. Theodoridis, ITP-SU-88–3.

    Google Scholar 

  38. J. Hoppe, Aachen preprint PITHA 86/24.

    Google Scholar 

  39. E. Floratos and J. Illiopoulos, Phys. Lett. 2018 237 (1988).

    Google Scholar 

  40. B. de Wit, J. Hoppe and H. Nicolai, preprint KA-THEP 6/88.

    Google Scholar 

  41. E. Bergshoeff, E. Sezgin and P. K. Townsend, preprint IC/88/186.

    Google Scholar 

  42. I. Bars, C. N. Pope and E. Sezgin, Phys. Lett. 1988 455 (1987).

    Google Scholar 

  43. C. N. Pope and K. S. Stelle, preprint Imperial/TH/87–88/27.

    Google Scholar 

  44. I. Bars, preprint USC-87/HEP06.

    Google Scholar 

  45. I. Bars and C. N. Pope, Class. Quantum Gray. 5 (1988).

    Google Scholar 

  46. B. de Wit, M. Luscher and H. Nicolai, preprint DESY 88–162 and THU88–43.

    Google Scholar 

  47. B. Simon, Ann. Phys. 146 209 (1983).

    Article  Google Scholar 

  48. M. J. Duff, C. N. Pope and E. Sezgin, Texas A and M preprint CTP-TAMU01/89.

    Google Scholar 

  49. J. W. van Holten and A. van Proeyen, J. Phys. A15 3763 (1982).

    Google Scholar 

  50. P. K. Townsend, Phys. Lett 202B 53 (1988).

    CAS  Google Scholar 

  51. F. Paccanoni, P. Pasti and M. Tonin, Padova preprint DFPD/88/TH/9.

    Google Scholar 

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© 1990 Plenum Press, New York

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Duff, M. (1990). Classical and Quantum Supermembranes. In: Zichichi, A. (eds) The Superworld III. The Subnuclear Series, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8869-2_3

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  • DOI: https://doi.org/10.1007/978-1-4684-8869-2_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8871-5

  • Online ISBN: 978-1-4684-8869-2

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