arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1906.04142hep-th
收藏

反常引力及其纠缠的正性

Anomalous Gravitation and its Positivity from Entanglement

Hongliang Jiang

摘要:

我们探讨了引力出现的纠缠在全息CFTs与引力异常。从量子纠缠的角度研究了三维体块中带有引力Chern-Simons项的拓扑大质量引力(TMG)与二维边界上带有不平衡左右移动中心荷的对偶CFT之间的全息对应关系.利用纠缠第一定律,我们导出了TMG中能量动量张量的全息字典,包括对数模的手征情况。此外,我们表明,线性化的运动方程的TMG也可以得到纠缠使用Wald-Tachikawa协变相空间形式主义。最后,我们确定了一个准本地的引力能量纠缠楔的全息对偶的相对熵的引力反常的CFTs。相对熵的正性和单调性意味着这样的引力能应该是正定的,并且随着纠缠楔尺寸的增大而增大。这些来自量子信息的约束条件可能被用来讨论TMG的UV不一致问题。

英文摘要:

We explore the emergence of gravitation from entanglement in holographic CFTs with gravitational anomalies. More specifically, the holographic correspondence between topologically massive gravity (TMG) with gravitational Chern-Simons term in the 3D bulk and its dual CFT with unbalanced left and right moving central charges on the 2D boundary, is studied from the quantum entanglement perspective. Using the first law of entanglement, we derive the holographic dictionary of the energy-momentum tensor in TMG, including the chiral case with logarithmic mode. Furthermore, we show that the linearized equation of motion of TMG can also be obtained from entanglement using the Wald-Tachikawa covariant phase space formalism. Finally, we identify a quasi-local gravitational energy in the entanglement wedge as the holographic dual of relative entropy in gravitationally anomalous CFTs. The positivity and monotonicity of relative entropy imply that such a gravitational energy should be positive definite and become larger when increasing the size of the entanglement wedge. These constraints from quantum information may be potentially used to discuss the UV inconsistent issues of TMG.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑