## Abstract

We study topological properties of quasi-particle states in the non-Abelian quantum Hall states. We apply a skein-theoretic method to the Read-Rezayi state whose effective theory is the SU(2)_{K} Chern-Simons theory. As a generalization of the Pfaffian (K = 2) and the Fibonacci (K = 3) anyon states, we compute the braiding matrices of quasi-particle states with arbitrary spins. Furthermore we propose a method to compute the entanglement entropy skein-theoretically. We find that the entanglement entropy has a nontrivial contribution called the topological entanglement entropy which depends on the quantum dimension of non-Abelian quasi-particle intertwining two subsystems.

Original language | English |
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Pages (from-to) | 1729-1769 |

Number of pages | 41 |

Journal | Annals of Physics |

Volume | 323 |

Issue number | 7 |

DOIs | |

Publication status | Published - Jul 2008 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- General Physics and Astronomy