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Nonlinear realizations of extended supersymmetries with central charges

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Czechoslovak Journal of Physics B Aims and scope

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Abstract

The basic ideas of nonlinear realizations of extended supersymmetries are reviewed, with central charges describing spontaneously broken internal symmetry generators. The class of string-like supersymmetricσ-models is described and new nonlinear realizations of OSp(2N; 4) are considered. The application to preon physics and the relation to different formulations of supergravity are mentioned.

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References

  1. Cremmer E., Julia B.: Nucl. Phys. B159 (1979) 81.

    Google Scholar 

  2. Curtright T., Freund P.: “Supergravity”, ed. van Nieuwenhuizen P. and Freedman D. Z., North Holland, Amsterdam, 1979, p. 197.

    Google Scholar 

  3. Ellis J., Gaillard M. K., Zumino B.: Phys. Lett.94B (1980) 343.

    Google Scholar 

  4. Ellis J., Gaillard M. K., Maiani L., Zumino B.: “Unification of Elementary Interactions”, eds. Ellis J., Ferrara S., van Nieuwenhuizen P., Plenum Press, New York 1980, p. 69.

    Google Scholar 

  5. Dubois-Violette M., Georgelin Y.: Phys. Lett.82B (1979) 251.

    Google Scholar 

  6. Balachandran A. P., Stern A., Trahern G.: Phys. Rev. D19 (1978) 2416.

    Google Scholar 

  7. Lukierski J.: Proc. of Summer Institute of Field-Theoretic Methods in Particle Physics, Kaiserlautern, August 1979, publ. Springer-Verlag, 1980, p. 309.

    Google Scholar 

  8. Gursey F., Tze H. C.: Ann. Phys.128, (1980) 29.

    Google Scholar 

  9. Bars I., Gunaydin M.: Phys. Rev. D22 (1980) 1403.

    Google Scholar 

  10. Coleman S., Wess J., Zumino B.: Phys. Rev.177 (1969) 2239.

    Google Scholar 

  11. Salam A., Strathdee J.: Phys. Rev.184 (1969) 1750.

    Google Scholar 

  12. Isham C. J.: Nuovo Cimento59A (1969) 356.

    Google Scholar 

  13. Ogievetsky V.: Proc. of Xth Winter School of Theoretical Physics in Karpsacz, Febr. 1973, ed. Wroclaw University Press.

  14. Lukierski J.: Proc. of symposium on differential-geometric methods, Aix-en-Provence, Sept. 1979, ed. Springer-Verlag, Lecture Notes in Mathematics, Vol. 835 (1980) 225.

    Google Scholar 

  15. Napolitano E., Sciuto S.: Torino preprint IFTT 408 (1981).

  16. DiVecchia P., Ferrara S.: Nucl. Phys. B130 (1977) 93.

    Google Scholar 

  17. Witten E.: Phys. Rev.16D (1977) 299.

    Google Scholar 

  18. Lukierski J., Milewski B.: Phys. Lett.93B (1980) 91.

    Google Scholar 

  19. Lukierski J.: Proc. of XVII Karpsacz Winter school, Febr. 1980; ICTP preprint IC/80/48, April 1980.

  20. Berezin F. A.: Jad. Fizika30 (1979) 1168.

    Google Scholar 

  21. Leites D. A.: Uspechi Mat. Nauk (1980).

  22. Rogers A.: J. Math. Phys.21 (1980) 1352.

    Google Scholar 

  23. Schwarz A. S.: Nucl. Phys. B171 (1980) 154.

    Google Scholar 

  24. Volkov D. V.: Sov. J. Part. and Nuclei4 (1973) 3.

    Google Scholar 

  25. Isham C., Salam A., Strathdee J.: Ann. Phys.62 (1973) 13.

    Google Scholar 

  26. Lukierski J.: Proc. of IXth Colloquium on group-theoretic methods, Cocoyoc (Mexico), June 1980, publ. Springer, Lecture Notes in Physics, Vol. 135, p. 580.

  27. Haag R., Lopuszanski J., Sohnius M.: Nucl. Phys. B88 (1975) 257.

    Google Scholar 

  28. Coleman C., Mandula J.: Phys. Rev.159 (1967) 1251.

    Google Scholar 

  29. Hove P., Lindstrom U.: Nucl. Phys.181 (1981) 487.

    Google Scholar 

  30. Lukierski J., Rytel L.: ICTP-preprint IC/81/59 (1981), submitted to Phys. Lett. B.

  31. Volkov D. V., Akulov V. P.: Phys. Lett.46B (1973) 109.

    Google Scholar 

  32. Akulov V. P., Volkov D. V.: Teor. Mat. Fiz.18 (1974) 39.

    Google Scholar 

  33. deWit B., Freedman D. Z.: Phys. Rev. Lett.35 (1975) 827.

    Google Scholar 

  34. Bardeen W. A., Visnjic V.: NAL-preprint FERMILAB-Pub-81/4 (1981).

  35. Keck B. W.: J. Phys. A8 (1975) 1819.

    Google Scholar 

  36. Zumino B.: Nucl. Phys.127B (1977) 189.

    Google Scholar 

  37. Gursey F., Marchildon L.: Phys. Rev. D17 (1978) 2038.

    Google Scholar 

  38. Gursey F., Marchildon L.: J. Math. Phys.19 (1978) 942.

    Google Scholar 

  39. Lukierski J.: Lett. in Math. Phys.3 (1979) 135.

    Google Scholar 

  40. Baaklini S.: Gen. Rel. Grav.10 (1979) 365.

    Google Scholar 

  41. Lukierski J.: “Hadronic matter at extreme densities”, eds. Cabibo N. and Sertorio L., Plenum Press, New York (1980), 187.

    Google Scholar 

  42. Lukierski J.: J. Math. Phys.21 (1980) 561.

    Google Scholar 

  43. Lukierski J., Novicki A.: Wroclaw Univ. preprint No. 534 (1981); Fortschr. d. Physik (in press).

  44. Alvarez-Gaume L., Freedman D. Z.: Ann. Phys.134 (1981) 85.

    Google Scholar 

  45. Townsend P.: CERN preprint TH. 3066 (1981).

  46. Akama K.: Progr. Theor. Phys.60 (1978) 1900.

    Google Scholar 

  47. Amati D., Veneziano G.: CERN preprint TH. 3126 (1981).

  48. Rocek M.: Phys. Rev. Lett.47 (1978) 451.

    Google Scholar 

  49. Ivanov E. A., Kapustnikov A. A.: J. Phys. A11 (1978) 2375.

    Google Scholar 

  50. van Nieuwenhuizen P.: Phys. Rep.68 (1981) 4.

    Google Scholar 

  51. Lukierski J., Rytel L.: Geneva Univ. preprint (to be published).

  52. Pais A.: Physica19 (1953) 869.

    Google Scholar 

  53. Salam A., Strathdee J.: Nucl. Phys. B76 (1974) 477.

    Google Scholar 

  54. Ivanov E. A., Sorin A. S.: J. Phys.13A (1980) 1159.

    Google Scholar 

  55. Lukierski J., Rytel L.: in preparation.

  56. Brink L., Gell-Mann M., Ramond R., Schwarz J.: Phys. Lett. B145 (1978) 93.

    Google Scholar 

  57. Mansouri F.: Proc. of Conf. on group theory and math. phys., Austin, Sept. 1978, Springer-Verlag (1978).

    Google Scholar 

  58. Ferrara S., Savoy C. A., Zumino B.: Phys. Lett.100B (1981) 393.

    Google Scholar 

  59. Lopuszanski J., Wolf M.: Wroclaw Univ. preprint (1981).

  60. Neeman Y.: Phys. Lett.81B (1979) 190.

    Google Scholar 

  61. Fairlie D. B.: Phys. Lett.82B (1979) 97.

    Google Scholar 

  62. Taylor J. G.: Phys. Rev. Lett.43 (1979) 826.

    Google Scholar 

  63. d'Auria R., Sciuito S.: Nucl. Phys. B171 (1980) 189.

    Google Scholar 

  64. Rebbi C.: Phys. Repts.12C (1974) 1.

    Google Scholar 

  65. Neeman Y., Regge T.: Revista del Nuovo Cimento1 (1978) 5.

    Google Scholar 

  66. d'Auria R., Fre P., Regge T.: “Unification of the fundamental particle interactions” Proc. of Erice Europhysics study conf. (1980), ed. Plenum Press, 171.

  67. d'Auria R., Fre P., Regge T.: Lectures presented in Trieste at Spring school on supergravity, April 1981; ICTP preprint IC/81/54.

  68. Volkov D. V., Soroka V. A.: Pisma JETF18 (1973) 529.

    Google Scholar 

  69. Volkov D. V., Soroka V. A.: Teor. Mat. Fiz.20 (1974) 291.

    Google Scholar 

  70. West P. C., Chamseddine A. H.: Nucl. Phys. B129 (1977) 39.

    Google Scholar 

  71. Mansouri F., McDowell S.: Phys. Rev. Lett.38 (1977) 739.

    Google Scholar 

  72. McDowell S.: Yale University preprint YTP 80-11 (1980).

  73. Mansouri F.: Phys. Lett.78B (1978) 274.

    Google Scholar 

  74. Zumino B.: “Unification of the fundamental particle interactions” Proc. of Erice Europhysics study conf. March 1980, ed. Plenum Press, 171.

  75. West P. C.: Phys. Lett.76B (1978) 569.

    Google Scholar 

  76. West P. C., Stelle K. S.: J. Phys. A8 (1979) 1205.

    Google Scholar 

  77. Ivanov E. A., Niederle J.: FZU-81-3 preprint, Prague 1981, reported at Bechyně Conference by J. Niederle.

  78. Borisov A. B., Ogievetski V. I.: Teor. Mat. Fiz.21 (1974) 329.

    Google Scholar 

  79. Minkowski P.: Phys. Lett.71B (1977) 419.

    Google Scholar 

  80. Zee A.: Phys. Rev. Lett.42 (1979) 417.

    Google Scholar 

  81. Das A., Kaku M., Townsend P.: Phys. Rev. Lett.40 (1978) 1215.

    Google Scholar 

  82. deWit B.: “Unification of the elementary particle interactions”, Proc. of Erice Europhysics study conf., March 1980, ed. Plenum Press, Plenum Press, New York p. 327.

    Google Scholar 

  83. Baaklini S.: Lett. Math. Phys.2 (1979) 115.

    Google Scholar 

  84. West P. C., Chamseddine A. H.: Nucl. Phys. B129 (1977) 39.

    Google Scholar 

  85. d'Adda A., d'Auria R., Free P., Regge T.: Revista del Nuovo Cimento6 (1980).

  86. Hamamoto S.: Progr. Theor. Phys.64 (1980) 1453.

    Google Scholar 

  87. Lukierski J., Nowotnik R.: in preparation.

  88. Ogievetsky V. I., Sokatchev E.: Yad. Fiz.31 (1980) 821.

    Google Scholar 

  89. Siegel W.: Nucl. Phys. B142 (1978) 301.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wroclaw, Wroclaw, Poland

    J. Lukierski

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  1. J. Lukierski
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Additional information

Invited talk at the International Symposium “Selected Topics in Quantum Field Theory and Mathematical Physics”, Bechyně, Czechoslovakia, June 14–21, 1981.

The author would like to thank Dr. Ling-Lie Chau for cordial hospitality at the Physics Department of the Brookhaven National Laboratory, where this text has been completed. I would also like to acknowledge here the fine art of computer typing performed by Mrs. Isabell Harrity.

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Lukierski, J. Nonlinear realizations of extended supersymmetries with central charges. Czech J Phys 32, 504–520 (1982). https://doi.org/10.1007/BF01596840

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  • DOI: https://doi.org/10.1007/BF01596840

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