Abstract
The conformal supergravity in three space-time dimensions is described by a pure Lorentz-Chern-Simons term. This system has constraints on curvatures and so it is a higher-derivative gauge model. The dynamical properties of this model are analyzed by means of the supersymmetric extension of the Faddeev-Jackiw symplectic quantization method. Using this algorithm in the first-order formalism, we study the gauge supersymmetric transformations and we find the constraints of the model.
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References
Achucarro, A., and Townsend, P. (1986).Physics Letters,180B, 85.
Barcelos-Neto, J., and Srivastava, P. P. (1991).Physics Letters B,259, 456.
Barcelos-Neto, J., and Wotzasek, C. (1992).International Journal of Modern Physics A,7, 4981.
Barcelos-Neto, J., and Wotzasek, C. (1993a).Modern Physics Letters A,8, 1172.
Barcelos-Neto, J., and Wotzasek, C. (1993b).Modern Physics Letters A,8, 3387.
Campbell, B. A., Duncan, M. J., Kaloper, N., and Olive, K. A. (1990). Preprint CERN-TH 5801/1990.
Costa, M. V. E., and Girotti, H. O. (1988).Physical Review Letters,60, 1771.
Dirac, P. A. M. (1950).Canadian Journal of Mathematics,2, 129.
Dirac, P. A. M. (1964).Lectures on Quantum Mechanics, Yeshiva University Press, New York.
Faddeev, L., and Jackiw, R. (1988).Physical Review Letters,60, 1692.
Foussats, A., Repetto, C., Zandron, O. P., and Zandron, O. S. (1992).Classical and Quantum Gravity,9, 2217.
Govaerts, J. (1990).International Journal of Modern Physics A,5, 3625.
Grignani, G., and Nardelli, G. (1991).Physics Letters,264B, 45.
Horta-Barreira, M. M., and Wotzasek, C. (1992).Physical Review D,45, 1410.
Koehler, K., Mansouri, F., Vaz, C., and Witten, L. (1990).Modern Physics Letters A,5, 935.
Koehler, K., Mansouri, F., Vaz, C., and Witten, L. (1991a).Journal of Mathematical Physics,32, 239.
Koehler, K., Mansouri, F., Vaz, C., and Witten, L. (1991b).Nuclear Physics B,358 677.
Kulshreshtha, D. S., and Muller-Kirsten, H. J. W. (1991).Physical Review D,43, 3376.
Montani, H., and Wotzasek, C. (1993).Modern Physics Letters A,8(35), 3387.
Sundermeyer, K. (1982).Constrained Dynamics, Springer-Verlag, Berlin.
Uematsu, T. Z. (1985).Zeitschrift für Physik C,29, 143.
Van Nieuwenhuizen, P. (1981). Supergravity,Physics Reports,68, 4.
Van Nieuwenhuizen, P. (1985).Physical Review D,32, 501.
Witten, E. (1988).Nuclear Physics B,321, 46.
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Foussats, A., Repetto, C., Zandron, O.P. et al. Faddeev-Jackiw quantization method in conformal three-dimensional supergravity. Int J Theor Phys 36, 55–65 (1997). https://doi.org/10.1007/BF02435771
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DOI: https://doi.org/10.1007/BF02435771