Covariant canonical formalism for Dirac-Nambu-Goto bosonic p-branes and the Gauss-Bonnet topological term in string theory

Abstract

Using a covariant and gauge invariant geometric structure constructed on the Witten covariant phase space for Dirac-Nambu-Goto bosonic p-branes propagating in a curved background, we find the canonically conjugate variables, and the relevant commutation relations are considered, as well as, we find the canonical variables for the Gauss-Bonnet topological term in string theory.

8 pages

References in corpus (3)

• Bosonic p-brane and A--D--M decomposition
• Deformation dynamics and the Gauss-Bonnet topological term in string theory
• Basic symplectic geometry for p-branes with thickness in a curved background