Hierarchy Construction of Quantum Hall States and Non-Commutative Chern-Simons Theory

Details Hierarchy Construction of Quantum Hall States and Non-Commutative Chern-Simons Theory Hierarchy Construction of Quantum Hall States and Non-Commutative Chern-Simons Theory

2008-03-06

arxiv.org/abs/0803.0826v4

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figure;references added

Scientific paper

In this paper, we study the non-commutative Chern-Simons description of the hierarchy of quantum Hall states. Our method is based on the framework suggested by Susskind in hep-th/0101029. By using the area preserving diffeomorphism gauge symmetry of quasiparticle fluid, we show that non-commutative Chern-Simons description of the hierarchy construction of quantum Hall states with generic filling fraction can be realized in Susskind's approach. The relationship between our model and the pervious work on the effective field theory of quantum Hall states is also discussed.

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