Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-08-25
Nucl.Phys. B705 (2005) 457-476
Physics
High Energy Physics
High Energy Physics - Theory
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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