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Dynamical Poincare Symmetry Realized by Field-dependent Diffeomorphisms

R. Jackiw·A. P. Polychronakos
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Abstract

We present several Galileo invariant Lagrangians, which are invariant against Poincare transformations defined in one higher (spatial) dimension. Thus these models, which arise in a variety of physical situations, provide a representation for a dynamical (hidden) Poincare symmetry. The action of this symmetry transformation on the dynamical variables is nonlinear, and in one case involves a peculiar field-dependent diffeomorphism. Some of our models are completely integrable, and we exhibit explicit solutions.

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R. Jackiw, A. P. Polychronakos. 1998-09-16. Dynamical Poincare Symmetry Realized by Field-dependent Diffeomorphisms. https://arxiv.org/abs/hep-th/9809123

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