Identically closed two-form for covariant phase space quantization of Dirac–Nambu–Goto p-branes in a curved spacetime

Using a fully covariant formalism given by Carter for the deformation dynamics of p-branes governed by the Dirac–Nambu–Goto action in a curved background, it is proved that the corresponding Wittenʹs phase space is endowed with a covariant symplectic structure, which can serve as a starting point for a phase space quantization of such objects. Some open questions for further research are outlined.