Edge excitations of the Chern Simons matrix theory for the FQHE

Details Edge excitations of the Chern Simons matrix theory for the FQHE Edge excitations of the Chern Simons matrix theory for the FQHE

2008-12-24

arxiv.org/abs/0812.4531v3

JHEP 0907:100,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages. Section 3.2. improved. 2 Appendices added. Accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2009/07/100

We study the edge excitations of the Chern Simons matrix theory, describing the Laughlin fluids for filling fraction $\nu=\frac{1}{k}$, 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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