Constrained superconducting membranes

We present a geometrical canonical description for superconducting membrane s. We consider a general action which includes a general class of supercond ucting extended objects (strings and domain walls). The description is insp ired in the ADM framework of general relativity but, instead of the standar d canonical variables a different kind of phase space is considered. The Po isson algebra of the constraints and the counting of degrees of freedom is performed. The new description is illustrated considering a superconducting domain wall on a curved background spacetime. (C) 1999 Published by Elsevi er Science B.V. All rights reserved.