### Abstract

A generalization of the quantum Hall effect (QHE) where particles move in an eight-dimensional space under an SO(8) gauge field was constructed. A nonrelativistic Hamiltonian for particles moving on the S^{8} in the presence of the SO(8) gauge field above was also introduced. The particle carry SO(8) numbers and the generators ∑_{μν}, combine nontrivally with the orbital angular momentum L_{μν}^{(0)} on the equator of S^{8}, to select some distinct special representations of the SO(9) L_{ab} which label the particle. The two eight-dimensional quantum Hall fluids, whose dimensions vary as R^{20} and R ^{14}, were also constructed.

Original language | English (US) |
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Pages (from-to) | 2368031-2368034 |

Number of pages | 4 |

Journal | Physical review letters |

Volume | 91 |

Issue number | 23 |

State | Published - Dec 5 2003 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cite this

*Physical review letters*,

*91*(23), 2368031-2368034.