The Quantum Hall Effect on R 4

  title={The Quantum Hall Effect on R 4},
  author={Henriette Elvang},
Zhang and Hu have formulated an SU (2) quantum Hall system on the four-sphere, with interesting three-dimensional boundary dynamics including gapless states of nonzero helicity. In order to understand the local physics of their model we study the U (1) and SU (2) quantum Hall systems on flat R 4 , with flat boundary R 3. In the U (1) case the boundary dynamics is essentially one dimensional. The SU (2) theory can be formulated on R 4 for any isospin I, but in order to obtain a flat boundary… CONTINUE READING
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