Nonlinear Realization of a Dynamical Poincare Symmetry by a Field-dependent Diffeomorphism

Details Nonlinear Realization of a Dynamical Poincare Symmetry by a Field-dependent Diffeomorphism Nonlinear Realization of a Dynamical Poincare Symmetry by a Field-dependent Diffeomorphism

1998-03-19

arxiv.org/abs/hep-th/9803165v2

Physics

High Energy Physics

High Energy Physics - Theory

Email correspondence to jackiw@mitlns.mit.edu ; 13 pages, 5 eps figures; uses BoxedEPS, REVTeX; slightly extended version, tit

Scientific paper

10.1006/aphy.1998.5848

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 Poincare group in one higher dimension. Therefore, these models provide a nonlinear representation for a dynamical Poincare group.

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