Dynamical Poincare Symmetry Realized by Field-dependent Diffeomorphisms
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
Contribution to Faddeev Festschrift, Steklov Mathematical Institute Proceedings; REVTeX, BoxedEPS.tex, 5 figures, 21 pages; email to jackiw@mitlns.mit.edu
Contribution to Faddeev Festschrift, Steklov Mathematical Institute Proceedings; REVTeX, BoxedEPS.tex, 5 figures, 21 pages; email to jackiw@mitlns.mit.edu