Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy

  • Mitsutoshi Fujitaa, Tadashi Takayanagib
  • Published 2009


We present three holographic constructions of fractional quantum Hall effect (FQHE) via string theory. The first model studies edge states in FQHE using supersymmetric domain walls in N = 6 Chern-Simons theory. We show that D4-branes wrapped on CP or D8branes wrapped on CP create edge states that shift the rank or the level of the gauge group, respectively… (More)


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