Geodesic
Hidden symmetries for some classical field models
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 238-249 
R. P. Zaikov. Hidden symmetries for some classical field models. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 238-249. http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a5/
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     author = {R. P. Zaikov},
     title = {Hidden symmetries for some classical field models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1982},
     volume = {53},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The existence of hidden symmetries for an action invariant with respect to space-time transformations $K$ and internal transformations $G$ is investigated. For this purpose transformations with generators that are functions of the coordinates are considered. For these functions, differential equations are obtained from the condition of invariance of the action. Solutions of these equations are found in the two-dimensional case. It is shown that the coordinate transformations depend on the fields and that the corresponding higher conserved quantities are of the Noether type.

[1] Pohlmeyer K., Commun. Math. Phys., 46:3 (1976), 207–221 | DOI | MR | Zbl

[2] Luscher M., Pohlmeyer K., Nucl. Phys., B137:1 (1978), 46–54 | DOI | MR

[3] Brezin E. et al., Phys. Lett., 82B:3–4 (1979), 442–444 | DOI

[4] Dolan L., Roos A., Phys. Rev., D22:8 (1980), 2018–2021 | MR

[5] Markowsky B. L., Zaikov R. P., On origin on non-linear sigma models, Preprint E2-80-654, JINR, Dubna, 1980

[6] Zaikov R. P., On origin of non-local conserved currents for the supersymmetric nonlinear sigma models, Preprint E2-80-197, JINR, Dubna, 1980 | MR

[7] Aref'eva I. Ya., On the integral formulation of gauge theories, Preprint No 480, ITP, Wroclaw, 1979 | MR

[8] Dolan L., Phys. Rev., D22:12 (1980), 3104–3112 | MR

[9] Dolan L., Kac-Moody algebra is hidden symmetry of chiral models, Preprint RU 81/b/5, Rockefeller Univ., New York, 1981 | MR

[10] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1973, s 20 | MR | Zbl