Simplectic geometry and the canonical variables for Dirac-Nambu-Goto and Gauss-Bonnet system in string theory

摘要

Using a strongly covariant formalism given by Carter for the deformationsdynamics of p-branes in a curved background and a covariant and gauge invariantgeometric structure constructed on the corresponding Witten's phase space, weidentify the canonical variables for Dirac-Nambu-Goto [DNG] and Gauss-Bonnet[GB] system in string theory. Future extensions of the present results areoutlined.