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Higher-Dimensional Quantum Hall Effect in String Theory | | Michal Fabinger
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4 Dec 2001 | | Journal: | JHEP 0205 (2002) 037 | | Subject: | High Energy Physics - Theory; Mesoscopic Systems and Quantum Hall Effect | hep-th cond-mat.mes-hall | | Affiliation: | Stanford University and SLAC | | Abstract: | We construct a string theory realization of the 4+1d quantum Hall effect recently discovered by Zhang and Hu. The string theory picture contains coincident D4-branes forming an S^4 and having D0-branes (i.e. instantons) in their world-volume. The charged particles are modelled as string ends. Their configuration space approaches in the large n limit a CP^3, which is an S^2 fibration over S^4, the extra S^2 being made out of the Chan-Paton degrees of freedom. An alternative matrix theory description involves the fuzzy four-sphere. We also find that there is a hierarchy of quantum Hall effects in odd-dimensional spacetimes, generalizing the known cases in 2+1d and 4+1d. | | Source: | arXiv, hep-th/0201016 | | Services: | Forum | Review | PDF | Favorites | |
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