Summary
A prolongation structure for the components of the supersymmetricU(N) sigma model is constructed using the differential geometric prolongation technique of Wahlquist-Estabrook. Also, linear systems, Bäcklund transformations and conservation laws for this model are obtained via representations of the prolongation Lie algebra.
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References
H. Eichenherr andM. Farger:Nucl. Phys. B,155, 381 (1979).
H. Eichenherr andM. Farger:Nucl. Phys. B,164, 528 (1980).
M. Jacques andY. Saint-Aubin:Math. Phys.,28, 2463 (1987).
A. Kundu:J. Phys. A,19, 1303 (1986).
A. M. Perelomov:Phys. Rep.,146, 135 (1987).
P. O. Mazur:Phys. Lett. A,100, 341 (1984).
R. Oppermann:Nucl. Phys. B,280, 753 (1987).
B. Piette, R. Zait andW. Zakrewski:Z. Phys. C,44, 111 (1989).
E. Witten:Phys. Rev. D,16, 2991 (1977).
M. El-Sabbagh:J. Math. Phys. Sci.,18, 127 (1984).
M. El-Sabbagh:Nuovo Cimento B,101, 697 (1988).
M. El-Sabbagh, M. Hassan andR. Zait:Proceedings of the IV International Conference on Theoretical and Applied Mechanics, Cairo, 5–7 November 1991, pp. 1–10 (Egyptian Academy of Science and Research, 1992).
M. El-Sabbagh andR. Zait:Phys. Scripta,49, 9 (1992).
M. El-Sabbagh andA. Khater:Nuovo Cimento B,104, 123 (1989).
A. Sym:Lett. Nuovo Cimento,36, 307 (1983).
F. Pirani, D. Robinson andW. Shadwick:Stud. Math. Phys.,1, 1 (1979).
F. Estabrook andH. Wahlquist:J. Math. Phys.,16, 1 (1975);17, 1293 (1976).
H. C. Morris:J. Math. Phys.,18, 285 (1977).
M. Omote:J. Math. Phys.,27, 2853 (1986).
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El-Sabbagh, M., Zait, R. Prolongation structures, Bäcklund transformations and conservation laws for thesusy U(N) sigma-model. Nuovo Cim B 109, 547–552 (1994). https://doi.org/10.1007/BF02728396
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DOI: https://doi.org/10.1007/BF02728396