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- W2951732523 abstract "We give a brief review of the Quantum Hall effect in higher dimensions and its relation to fuzzy spaces. For a quantum Hall system, the lowest Landau level dynamics is given by a one-dimensional matrix action. This can be used to write down a bosonized noncommutative field theory describing the interactions of higher dimensional nonrelativistic fermions with abelian or nonabelian gauge fields in the lowest Landau level. This general approach is applied explicitly to the case of QHE on ${bf CP}^k$. It is shown that in the semiclassical limit the effective action contains a bulk Chern-Simons type term whose anomaly is exactly canceled by a boundary term given in terms of a chiral, gauged Wess-Zumino-Witten action suitably generalized to higher dimensions." @default.
- W2951732523 created "2019-06-27" @default.
- W2951732523 creator A5044489248 @default.
- W2951732523 date "2010-05-24" @default.
- W2951732523 modified "2023-09-27" @default.
- W2951732523 title "Quantum Hall Effect, Bosonization and Chiral Actions in Higher Dimensions" @default.
- W2951732523 hasPublicationYear "2010" @default.
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