Incompressible Quantum Hall Fluid
نویسندگان
چکیده
After review the quantum Hall effect on the fuzzy two-sphere S2 and Zhang and Hu’s 4-sphere S4, the incompressible quantum Hall fluid on S2, S4 and torus are discussed respectively. Next, the corresponding Laughlin wavefunctions on S2 are also given out. The ADHM construction on S4 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. PACS: 11.90.+t, 11.25.-w
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