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Uniqueness of the Pohlmeyer–Lund–Regge system

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Abstract

We prove that the Pohlmeyer–Lund–Regge system is, up to coordinate changes, the unique two-component variational system of chiral type with an irreducible metric that admits a Lax representation with values in the algebra \(\mathfrak{so}(3)\)

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Acknowledgments

The author expresses his gratitude to N. A. Stepanov, E. V. Ferapontov, and E. I. Yakovlev for the useful discussions.

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Authors and Affiliations

  1. Institute of Information Technologies, Mathematics, and Mechanics, Lobachevsky National Research State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    A. V. Balandin

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  1. A. V. Balandin
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Correspondence to A. V. Balandin.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 210, pp. 422-429 https://doi.org/10.4213/tmf10198.

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Balandin, A.V. Uniqueness of the Pohlmeyer–Lund–Regge system. Theor Math Phys 210, 368–375 (2022). https://doi.org/10.1134/S0040577922030072

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  • DOI: https://doi.org/10.1134/S0040577922030072

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