论文标题
三维de Sitter重力的CFT双重
CFT duals of three-dimensional de Sitter gravity
论文作者
论文摘要
我们提出了一类DS/CFT对应关系，二维CFT和三维的DE Sitter空间。我们认为，这样的CFT在临界水平限制$ k \ to -2 $中包括SU $（2）$ WZW模型，这与经典的重力限制相对应。我们可以通过在临界水平限制$ k \ to -n $中考虑SU $（n）$ WZW模型来概括此DS/CFT，在三维设备空间上dual dual dual dual dual dual dual dual dual dual dual dual dual。我们确认，在此拟议的二元性下，重力侧的经典分区函数可以从CFT计算中复制。我们还指出了在高自旋全息图中已知的二元性关系提供了进一步的证据。此外，我们分析了DS/CFT对应关系中的两点函数和纠缠熵。讨论了重力理论中可能的光谱和量子校正。
We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that such a CFT includes an SU$(2)$ WZW model in the critical level limit $k\to -2$, which corresponds to the classical gravity limit. We can generalize this dS/CFT by considering the SU$(N)$ WZW model in the critical level limit $k\to -N$, dual to the higher-spin gravity on a three-dimensional de Sitter space. We confirm that under this proposed duality the classical partition function in the gravity side can be reproduced from CFT calculations. We also point out a duality relation known in higher-spin holography provides further evidence. Moreover, we analyze two-point functions and entanglement entropy in our dS/CFT correspondence. Possible spectrum and quantum corrections in the gravity theory are discussed.
