2004/08/30 by Alexios P. Polychronakos
Physics and Astronomy · #hep-th #cond-mat.mes-hall #physics.flu-dyn
paper · pdf · doi:10.1016/j.nuclphysb.2004.10.053
published as Nucl.Phys. B705 (2005) 457-476 · 25 pages; new subsection with comparison to fluid mechanics
arxiv created 2004/08/30 · arxiv updated 2010/04/05
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.