Rodriguez, Ivan D.
Edge excitations of the
Chern Simons matrix theory for the FQHE.
Journal of High Energy Physics, 7 (100).
We study the edge excitations of the Chern Simons matrix theory, describing the
Laughlin fluids for filling fraction n = 1k, with k an integer. Based on the semiclassical
solutions of the theory, we are able to identify the bulk and edge degrees of freedom.
In this way we can freeze the bulk of the theory, to the semiclassical values, obtaining
an effective theory governing the boundary excitations of the Chern Simons matrix
theory. Finally, we show that this effective theory is equal to the chiral boson theory
on the circle.
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