The Dynamics of Relativistic Membranes I: Reduction to 2-dimensional Fluid Dynamics
High Energy Physics - Theory
2011-05-05 v1
Abstract
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 invariant -dimensional theory of isentropic gas dynamics, where the pressure is inversely proportional to (minus) the mass-density. Simple expressions for the generators of the Poincar\'e 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.
Keywords
Cite
@article{arxiv.hep-th/9307036,
title = {The Dynamics of Relativistic Membranes I: Reduction to 2-dimensional Fluid Dynamics},
author = {Martin Bordemann and Jens Hoppe},
journal= {arXiv preprint arXiv:hep-th/9307036},
year = {2011}
}
Comments
10 pages, LATEX, FR-THEP-93-13 and KA-THEP-4-93