Nonlinear realizations of $W_3$ symmetry

E. Ivanov; S. Krivonos; A. Pichugin

doi:10.1016/0370-2693(92)90430-c

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arXiv · hep-th/9204016

Nonlinear realizations of $W_3$ symmetry

E. Ivanov·S. Krivonos·A. Pichugin

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Abstract

We deduce the $sl_{3}$ Toda realization of classical $W_3$ symmetry on two scalar fields in a geometric way, proceeding from a nonlinear realization of some associate higher-spin symmetry $W_{3}^{\infty}$. The Toda equations are recognized as the constraints singling out a two-dimensional fully geodesic subspace in the initial coset space of $W_{3}^{\infty}$. The proposed geometric approach can be extended to other nonlinear algebras and integrable systems.

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E. Ivanov, S. Krivonos, A. Pichugin. 1992-04-07. Nonlinear realizations of $W_3$ symmetry. https://doi.org/10.1016/0370-2693(92)90430-c

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