### 摘要

We consider the refinement of the holographic entanglement entropy for the holographic dual theories to the AdS solitons and AdS black holes, including the corrected ones by the Gauss-Bonnet term. The refinement is obtained by extracting the UV-independent piece of the holographic entanglement entropy, the so-called renormalized entanglement entropy which is independent of the choices of UV cutoff. Our main results are: (i) the renormalized entanglement entropies of the AdS_{d+1} soliton for d=4, 5 are neither monotonically decreasing along the RG flow nor positive-definite, especially around the deconfinement/confinement phase transition; (ii) there is no topological entanglement entropy for AdS_{5} soliton even with Gauss-Bonnet correction; (iii) for the AdS black holes, the renormalized entanglement entropy obeys an expected volume law at IR regime, and the transition between UV and IR regimes is a smooth crossover even with Gauss-Bonnet correction; (iv) based on AdS/MERA conjecture, we postulate that the IR fixed-point state for the non-extremal AdS soliton is a trivial product state.

原文 | 英語 |
---|---|

頁（從 - 到） | 392-426 |

頁數 | 35 |

期刊 | Nuclear Physics B |

卷 | 872 |

發行號 | 3 |

DOIs | |

出版狀態 | 已發佈 - 2013 七月 21 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## 指紋 深入研究「Refined holographic entanglement entropy for the ads solitons and ads black holes」主題。共同形成了獨特的指紋。

## 引用此

*Nuclear Physics B*,

*872*(3), 392-426. https://doi.org/10.1016/j.nuclphysb.2013.04.003