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Lie algebras, integrability, and particle physics

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Abstract

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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Authors and Affiliations

  1. Physics Department, University of Wales Swansea, Swansea, UK

    D. I. Olive

  2. Mittag-Leffler Institute, Djursholm, Sweden

    D. I. Olive

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  1. D. I. Olive
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In memory of Misha Saveliev

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 123, No. 2, pp. 294–298, May, 2000.

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Olive, D.I. Lie algebras, integrability, and particle physics. Theor Math Phys 123, 659–662 (2000). https://doi.org/10.1007/BF02551398

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