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

Abstract

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 {\it global} symplectic potentials on the corresponding Witten covariant phase space. It is also proved that the {\it 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.

LaTeX, 8 pages, submitted to Phys. Lett. B. (2002)

References in corpus (2)

• Identically closed two-form for covariant phase space quantization of Dirac-Nambu-Goto p-branes in a curved spacetime
• Towards a covariant canonical formulation for closed topological defects without boundaries

Cited by in corpus (5)

• Hamiltonian dynamics of extended objects
• Identically closed two-form for covariant phase space quantization of Dirac-Nambu-Goto p-branes in a curved spacetime
• Towards a covariant canonical formulation for closed topological defects without boundaries
• Symplectic structure for elastic and chiral conducting cosmic string models
• Basic symplectic geometry for p-branes with thickness in a curved background