Global symplectic potentials on the Witten covariant phase space for bosonic extendons

It is proved that the projections of the deformation vector field, normal and tangential to the worldsheet manifold swept out by Dirac–Nambu–Goto bosonic extendons propagating in a curved background, play the role of global symplectic potentials on the corresponding Witten covariant phase space. It is also proved that the presymplectic structure obtained from such potentials by direct exterior derivation, has not components tangent to the action of the relevant diffeomorphisms group of the theory.