Chiral actions from phase space (quantum Hall) droplets

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages; new subsection with comparison to fluid mechanics

Scientific paper

10.1016/j.nuclphysb.2004.10.053

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.

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