Nonlinear Realization of a Dynamical Poincaré Symmetry by a Field - dependent Diffeomorphism
نویسندگان
چکیده
We consider a description of membranes by (2, 1)-dimensional field theory, or alternatively a description of irrotational, isentropic fluid motion by a field theory in any dimension. We show that these Galileo-invariant systems, as well as others related to them, admit a peculiar diffeomorphism symmetry, where the transformation rule for coordinates involves the fields. The symmetry algebra coincides with that of the Poincaré group in one higher dimension. Therefore, these models provide a nonlinear representation for a dynamical Poincaré group.
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Dynamical Poincaré Symmetry Realized by Field-dependent Diffeomorphisms
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