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arXiv · hep-th/0210154

Integrability and Conformal Symmetry in Higher Dimensions: A Model with Exact Hopfion Solutions

O. Babelon·L. A. Ferreira
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Abstract

We use ideas on integrability in higher dimensions to define Lorentz invariant field theories with an infinite number of local conserved currents. The models considered have a two dimensional target space. Requiring the existence of Lagrangean and the stability of static solutions singles out a class of models which have an additional conformal symmetry. That is used to explain the existence of an ansatz leading to solutions with non trivial Hopf charges.

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O. Babelon, L. A. Ferreira. 2002-10-16. Integrability and Conformal Symmetry in Higher Dimensions: A Model with Exact Hopfion Solutions. https://doi.org/10.1088/1126-6708%2F2002%2F11%2F020

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