Incompressible Quantum Hall Fluid

Details Incompressible Quantum Hall Fluid Incompressible Quantum Hall Fluid

2002-10-18

arxiv.org/abs/hep-th/0210173v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures, plain latex. Talk given by Bo-Yu Hou at the International conference of the String theory, Beijing, Augu

Scientific paper

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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