The Stringy Quantum Hall Fluid

Details The Stringy Quantum Hall Fluid The Stringy Quantum Hall Fluid

2001-07-20

arxiv.org/abs/hep-th/0107178v2

JHEP 0111:019,2001

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 2 figures; references added

Scientific paper

10.1088/1126-6708/2001/11/019

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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