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Incompressible Quantum Hall Fluid

Bo-Yu Hou·Dan-Tao Peng
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Abstract

After review the quantum Hall effect on the fuzzy two-sphere $S^2$ and Zhang and Hu's 4-sphere $S^4$, the incompressible quantum Hall fluid on $S^2$, $S^4$ and torus are discussed respectively. Next, the corresponding Laughlin wavefunctions on $S^2$ are also given out. The ADHM construction on $S^4$ is discussed. We also point out that on torus, the incompressible quantum Hall fluid is related to the integrable Gaudin model and the solution can be given out by the Yang Bethe ansatz.

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Bo-Yu Hou, Dan-Tao Peng. 2002-10-18. Incompressible Quantum Hall Fluid. https://arxiv.org/abs/hep-th/0210173

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