Kac-Moody theories for colored phase space (quantum Hall) droplets
High Energy Physics - Theory
2009-11-10 v1 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.hep-th/0411065,
title = {Kac-Moody theories for colored phase space (quantum Hall) droplets},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0411065},
year = {2009}
}
Comments
30 pages