### 摘要

In the AdS3/CFT2 correspondence, we find some conformal field theory (CFT) states that have no bulk description by the Bañados geometry. We elaborate the constraints for a CFT state to be geometric, i.e., having a dual Bañados metric, by comparing the order of central charge of the entanglement/Rényi entropy obtained respectively from the holographic method and the replica trick in CFT. We find that the geometric CFT states fulfill Bohr's correspondence principle by reducing the quantum Korteweg-de Vries hierarchy to its classical counterpart. We call the CFT states that satisfy the geometric constraints geometric states, and otherwise, we call them nongeometric states. We give examples of both the geometric and nongeometric states, with the latter case including the superposition states and descendant states.

原文 | 英語 |
---|---|

文章編號 | 106001 |

期刊 | Physical Review D |

卷 | 99 |

發行號 | 10 |

DOIs | |

出版狀態 | 已發佈 - 2019 五月 15 |

對外發佈 | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

## 指紋 深入研究「Nongeometric states in a holographic conformal field theory」主題。共同形成了獨特的指紋。

## 引用此

*Physical Review D*,

*99*(10), [106001]. https://doi.org/10.1103/PhysRevD.99.106001