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

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

2002-10-16

arxiv.org/abs/hep-th/0210154v1

JHEP 0211 (2002) 020

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, plain latex

Scientific paper

10.1088/1126-6708/2002/11/020

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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