Incompressible Quantum Hall Fluid

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.

13 pages, no figures, plain latex. Talk given by Bo-Yu Hou at the International conference of the String theory, Beijing, August 17-19, 2002

Cited by in corpus (1)

• Noncommutative Geometry, Quantum Hall Effect and Berry Phase