Kac-Moody theories for colored phase space (quantum Hall) droplets

Details Kac-Moody theories for colored phase space (quantum Hall) droplets Kac-Moody theories for colored phase space (quantum Hall) droplets

2004-11-05

arxiv.org/abs/hep-th/0411065v1

Nucl.Phys. B711 (2005) 505-529

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1016/j.nuclphysb.2005.01.016

We derive the canonical structure and hamiltonian for arbitrary deformations of a higher-dimensional (quantum Hall) droplet of fermions with spin or color on a general phase space manifold. Gauge fields are introduced via a Kaluza-Klein construction on the phase space. The emerging theory is a nonlinear higher-dimensional generalization of the gauged Kac-Moody algebra. To leading order in h-bar this reproduces the edge state chiral Wess-Zumino-Witten action of the droplet.

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