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On hidden symmetries of the Skyrme model

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Published: Dec 5, 2019
DOI: https://doi.org/10.12681/hnps.2269
A. Herrera-Aguilar
Institute de Fisica y Matemâticas, Universidad Michoacana de San Nicolas de Hidalgo
K. Kanakoglou
Physics Department, Aristotle University of Thessaloniki
J. E. Paschalis
Physics Department, Aristotle University of Thessaloniki
Abstract

We present a preliminary attempt to establish the existence of hidden nonlinear symmetries of the Skyrme model which could lead to the further integration of the system. An explicit illustration is given for the SU(2) symmetry group.

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References
T. H. R. Skyrme, Nucl. Phys. 31, 556 (1961). See also A.P. Balachandran, "The Skyrme soliton: a review", in Solitons in nuclear and elementary particle physics, Ed. A. Chodos, E. Hadjimichael and C Tze (World Scientific, 1984) and V.G. Makhan'kov, Yu.P. Rybakov and V.l. Sanuyk, The Skyrme model: Fundamentals, methods, applications, (Berlin, Springer, 1993); Sov. Phys. Usp. 35, 55 (1992), Usp. Fiz. Nauk 162, 1 (1992).