1993/07/06 by Martin Bordemann, Jens Hoppe · 6 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Codimension #Dimensional reduction #Geometry #Isentropic process #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Minkowski space #Physics #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #Reduction (mathematics) #Vector field #hep-th
paper · pdf · doi:10.1016/0370-2693(93)91002-5
published as Phys.Lett.B317:315-320,1993 · 10 pages, LATEX, FR-THEP-93-13 and KA-THEP-4-93
arxiv created 1993/07/06 · openalex publication_date 1993/11/01 · arxiv updated 2011/05/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We greatly simplify the light-cone gauge description of a relativistic membrane moving in Minkowski space by performing a field-dependent change of variables which allows the explicit solution of all constraints and a Hamiltonian reduction to a SO(1,3) invariant 2+1-dimensional theory of isentropic gas dynamics, where the pressure is inversely proportional to (minus) the mass-density. Simple expressions for the generators of the Poincaré group are given. We also find a generalized Lax pair which involves as a novel feature complex conjugation. The extension to the supersymmetric case, as well as to higher-dimensional minimal surfaces of codimension one is briefly mentioned.