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

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

2002-04-16

arxiv.org/abs/hep-th/0204135v1

Phys.Lett. B536 (2002) 289-293

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(02)01833-6

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.

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