Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-06
Phys.Lett.B317:315-320,1993
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, LATEX, FR-THEP-93-13 and KA-THEP-4-93
Scientific paper
10.1016/0370-2693(93)91002-5
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 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.
Bordemann Martin
Hoppe Jens
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