Non-linear Realizations, Goldstone bosons of broken Lorentz rotations and effective actions for p-branes

Understand

We consider the non-linear realizations of the Poincare group for p-branes with local subgroup SO(1,p)*SO(D-(p+1)).

• 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.