Constrained superconducting membranes

We present a geometrical canonical description for superconducting membranes. We consider a general action which includes a general class of superconducting extended objects (strings and domain walls). The description is inspired in the ADM framework of general relativity but, instead of the standard canonical variables a different kind of phase space is considered. The Poisson 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.