Edge states for quantum Hall droplets in higher dimensions and a generalized WZW model

We consider quantum Hall droplets on complex projective spaces with a combination of Abelian and non-Abelian background magnetic fields. Carrying out an analysis similar to what was done for Abelian backgrounds, we show that the effective action for the edge excitations is given by a chiral, gauged...

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Bibliographic Details
Published in:Nuclear physics. B 2004-10, Vol.697 (3), p.513-540
Main Authors: Karabali, Dimitra, Nair, V.P.
Format: Article
Language:English
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Summary:We consider quantum Hall droplets on complex projective spaces with a combination of Abelian and non-Abelian background magnetic fields. Carrying out an analysis similar to what was done for Abelian backgrounds, we show that the effective action for the edge excitations is given by a chiral, gauged Wess–Zumino–Witten (WZW) theory generalized to higher dimensions.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2004.07.014