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Supersymmetric reduction of the Wess-Zumino model

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Abstract

The symmetry reduction of the Wess-Zumino model by subgroups of the Poincaré group is investigated. A class of bidimensional subgroups of SO(3, 1) leading to supersymmetric residual systems is given. The reduction by a representative is carried out and the on-shell residual supersymmetry transformations are exhibited.

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References

  1. Légaré, M., J. Math. Phys. 28, 935 (1987).

    Google Scholar 

  2. Forgacs, P. and Manton, N. S., Commun. Math. Phys. 72, 15 (1980).

    Google Scholar 

  3. Harnad, J., Shnider, S., and Vinet, L., J. Math. Phys. 21, 2719 (1980).

    Google Scholar 

  4. Manton, N. S., Nucl. Phys. B193, 502 (1981).

    Google Scholar 

  5. Vinet, L., Phys. Rev. D24, 3179 (1981).

    Google Scholar 

  6. Légaré, M. and Harnad, J., J. Math. Phys. 27, 620 (1986).

    Google Scholar 

  7. Harnad, J., Shnider, S., and Tafel, J., J. Math. Phys. 21, 2236 (1980).

    Google Scholar 

  8. Coquereaux, R. and Jadczyk, A., Commun. Math. Phys. 98, 79 (1985).

    Google Scholar 

  9. Bartnik, R. and McKinnon, J., Phys. Rev. Lett. 61, 141 (1988).

    Google Scholar 

  10. Cremmer, E. and Julia, B., Nucl. Phys. B159, 141 (1979).

    Google Scholar 

  11. Manton, N. S., Ann. Phys. 167, 328 (1986).

    Google Scholar 

  12. Beckers, J., Harnad, J., Perroud, M., and Winternitz, P., J. Math. Phys. 19, 2126 (1978).

    Google Scholar 

  13. Beckers, J., Harnad, J., and Jasselette, P., J. Math. Phys. 21, 2491 (1980).

    Google Scholar 

  14. Gieres, F., Geometry of Supersymmetric Gauge Theories, Lecture Notes in Physics, Vol. 302, Springer-Verlag, Berlin (1988).

    Google Scholar 

  15. Panagopoulos, H. and Vinet, L., J. Math. Phys. 28, 1608 (1987).

    Google Scholar 

  16. Ovsiannikov, L. V., Group Analysis of Differential Equations, Academic Press, New York (1982).

    Google Scholar 

  17. Sohnius, M., Phys. Rep. 128, 39 1985.

    Google Scholar 

  18. Patera, J., Winternitz, P. and Zassenhauss, H., J. Math. Phys. 16, 1597 (1975).

    Google Scholar 

  19. Wess, J. and Zumino, B., Nucl. Phys. B80, 39 (1974).

    Google Scholar 

  20. Grundland, A. M., Harnad, J., and Winternitz, P., J. Math. Phys. 25, 791 (1984).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    Martin Legare

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  1. Martin Legare
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Legare, M. Supersymmetric reduction of the Wess-Zumino model. Lett Math Phys 18, 299–306 (1989). https://doi.org/10.1007/BF00405261

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  • DOI: https://doi.org/10.1007/BF00405261

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