Integrability and Conformal Symmetry in Higher Dimensions: A Model with Exact Hopfion Solutions
High Energy Physics - Theory
2009-11-07 v1
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.
Cite
@article{arxiv.hep-th/0210154,
title = {Integrability and Conformal Symmetry in Higher Dimensions: A Model with Exact Hopfion Solutions},
author = {O. Babelon and L. A. Ferreira},
journal= {arXiv preprint arXiv:hep-th/0210154},
year = {2009}
}
Comments
30 pages, plain latex