Abstract
A general method is presented to construct an infinite series of conserved local charges for a large class of two-dimensional nonlinear σ-models on symmetric spaces. The conservation laws are derived from a couple of first order Ricatti differential equations using the dual symmetry of σ-models on symmetric spaces. The method is exemplified for the case of σ-models on Grassmann manifolds.
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M. Lüscher, K. Pohlmeyer: Nucl. Phys.B 137, 46 (1978)
E. Brézin, C. Itzykson, J. Zinn-Justin, J.-B. Zuber: Phys. Lett.B 82, 442 (1979)
K. Pohlmeyer: Commun. Math. Phys.46, 207 (1976)
H. Eichenherr: Univ. Freiburg, preprint (THEP 79/10)
K. Scheler: Univ. Bonn, preprint (BN-HE-80-3)
S. Helgason: Differential geometry and symmetric spaces. New York: Academic Press, 1962
S. Kobayashi, K. Nomizu: Foundations of differential geometry. New York: Interscience, 1969
H. Eichenherr, M. Forger: Nucl. Phys.B 155, 381 (1979)
V.E. Zakharov, A.W. Michailov: Sovj. Phys. JETP47, 1017 (1978)
R. Flume, S. Meyer: Phys. Lett.B 85, 353 (1979)
A.T. Ogielski, M.K. Prasad; A. Sinha, Ling-Lie Chan Wang: Phys. Lett.91B, 387 (1980)
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Scheler, K. Local conserved currents for nonlinear σ-models on symmetric spaces. Z. Phys. C - Particles and Fields 6, 365–369 (1980). https://doi.org/10.1007/BF01474812
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DOI: https://doi.org/10.1007/BF01474812