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Nonlinear Realization of a Dynamical Poincaré Symmetry by a Field-Dependent Diffeomorphism

✍ Scribed by D. Bazeia; R. Jackiw

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 619 KB
Volume: 270
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.1998.5848

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✦ Synopsis

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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