## Abstract

We derive an effective topological field theory model of the four dimensional quantum Hall liquid state recently constructed by Zhang and Hu. Using a generalization of the flux attachment transformation, the effective field theory can be formulated as a U(1) Chern-Simons theory over the total configuration space CP_{3}, or as a SU(2) Chern-Simons theory over S^{4}. The new quantum Hall liquid supports various types of topological excitations, including the o-brane (particles), the 2-brane (membranes), and the 4-brane. There is a topological phase interaction among the membranes which generalizes the concept of fractional statistics.

Original language | English (US) |
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Pages (from-to) | 185-207 |

Number of pages | 23 |

Journal | Annals of Physics |

Volume | 300 |

Issue number | 2 |

DOIs | |

State | Published - Sep 15 2002 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)