Title | On the degeneracy of SU(3)k topological phases |

Publication Type | Journal Article |

Year of Publication | 2010 |

Authors | Jordan, SP, Mansour, T, Severini, S |

Date Published | 2010/09/01 |

Abstract | The ground state degeneracy of an $SU(N)_k$ topological phase with $n$ quasiparticle excitations is relevant quantity for quantum computation, condensed matter physics, and knot theory. It is an open question to find a closed formula for this degeneracy for any $N > 2$. Here we present the problem in an explicit combinatorial way and analyze the case N=3. While not finding a complete closed-form solution, we obtain generating functions and solve some special cases. |

URL | http://arxiv.org/abs/1009.0114v1 |