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Edge excitations of the Chern Simons matrix theory for the FQHE

Rodriguez, Ivan D. (2009) Edge excitations of the Chern Simons matrix theory for the FQHE. Journal of High Energy Physics, 7 (100). pp. 1-18. ISSN 1126-6708

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Abstract

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.

Additional Information:Preprint version of original article. The original publication is available at www.springerlink.com. doi:10.1088/1126-6708/2009/07/100
Keywords:Matrix Models; Non-Commutative Geometry; Chern-Simons Theories;
Subjects:Science & Engineering > Mathematical Physics
ID Code:2789
Deposited By:Dr. Ivan Rodriguez
Deposited On:24 Oct 2011 15:27
Journal or Publication Title:Journal of High Energy Physics
Publisher:Institute of Physics
Refereed:Yes
URL:http://iopscience.iop.org/, http://iopscience.iop.org/1126-6708/

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