1998/03/31 by D. Bazeia, R. Jackiw · 3 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Diffeomorphism #Dissipative system #Field (mathematics) #Lipid Membrane Structure and Behavior #Motion (physics) #Nonlinear Waves and Solitons #Nonlinear system #Quantum Mechanics and Non-Hermitian Physics #Realization (probability) #Representation (politics) #Symmetry (geometry) #Symmetry group #Vector field #hep-th #quant-ph
paper · pdf · doi:10.1006/aphy.1998.5848
Email correspondence to [email protected] ; 13 pages, 5 eps figures; uses BoxedEPS, REVTeX; slightly extended version, title changed, typos corrected
arxiv created 1998/07/14 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.