Chiral actions from phase space (quantum Hall) droplets

Abstract

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.

25 pages; new subsection with comparison to fluid mechanics

References in corpus (3)

• Twistor theory and the four-dimensional Quantum Hall effect of Zhang and Hu
• Matrix models of 4-dimensional quantum Hall fluids
• Non-Commutative Time, the Quantum Hall Effect and Twistor Theory

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• Noncommutative scalar fields from symplectic deformation
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