Non-linear realizations, Goldstone bosons of broken Lorentz rotations and effective actions for p-branes Original Research Article

We consider the non-linear realizations of the Poincare group for p-branes with local subgroup image. The Nambu–Goto p-brane action is constructed using the Maurer–Cartan forms of the unbroken translations. We perform a throughout phase space analysis of the action and show that it leads to the canonical action of a p-brane. We also construct some higher order derivative terms of the effective p-brane action using the MC forms of the broken Lorentz transformations.