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arXiv · hep-th/0107178

The Stringy Quantum Hall Fluid

O. Bergman·J. Brodie·Y. Okawa
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Abstract

Using branes in massive Type IIA string theory, and a novel decoupling limit, we provide an explicit correspondence between non-commutative Chern-Simons theory and the fractional quantum Hall fluid. The role of the electrons is played by D-particles, the background magnetic field corresponds to a RR 2-form flux, and the two-dimensional fluid is described by non-commutative D2-branes. The filling fraction is given by the ratio of the number of D2-branes and the number of D8-branes, and therefore by the ratio rank/level of the Chern-Simons gauge theory. Quasiparticles and quasiholes are realized as endpoints of fundamental strings on the D2-branes, and are found to possess fractional D-particle charges and fractional statistics.

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O. Bergman, J. Brodie, Y. Okawa. 2001-07-27. The Stringy Quantum Hall Fluid. https://doi.org/10.1088/1126-6708%2F2001%2F11%2F019

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