English

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

High Energy Physics - Theory 2009-10-31 v2 Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9803165,
  title  = {Nonlinear Realization of a Dynamical Poincare Symmetry by a Field-dependent Diffeomorphism},
  author = {D. Bazeia and R. Jackiw},
  journal= {arXiv preprint arXiv:hep-th/9803165},
  year   = {2009}
}

Comments

Email correspondence to [email protected] ; 13 pages, 5 eps figures; uses BoxedEPS, REVTeX; slightly extended version, title changed, typos corrected