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Lie algebras, integrability, and particle physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 2, pp. 294-298
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We discuss the construction of explicit general solutions of the conformal Toda field theory equations associated with an arbitrary Lie group. This result can be (and was) extended in many ways, in particular, to the affine Toda field theories associated with Kač–Moody algebras. These theories exhibit a rich spectrum of particles both as quantum excitations and as solitons, and their physical attributes can be directly related to the mathematical structures. 
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D. I. Olive. Lie algebras, integrability, and particle physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 2, pp. 294-298. http://geodesic.mathdoc.fr/item/TMF_2000_123_2_a9/

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