Chiral actions from phase space (quantum Hall) droplets

We derive the Hamiltonian and canonical structure for arbitrary deformations of a phase space (quantum Hall) droplet on a general manifold of any dimension. The derivation is based on a transformation that decouples the Casimirs of the density Poisson structure. The linearized theory reproduces the edge state chiral action of the droplets, while the nonlinear Hamiltonian captures 1/N quantum corrections.