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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.

    Item Type: Article
    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;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 2789
    Identification Number: https://doi.org/10.1088/1126-6708/2009/07/100
    Depositing User: Dr. Ivan Rodriguez
    Date Deposited: 24 Oct 2011 14:27
    Journal or Publication Title: Journal of High Energy Physics
    Publisher: Institute of Physics
    Refereed: Yes
    URI:

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