报告题目：Area operator and fixed area states in CFTs

报告人：郭武中 副教授（华中科技大学）

报告时间：2022年10月20日（周四）下午15:00-16:00

报告地点：在线报告（腾讯会议ID：442 4477 5872）

报告摘要：

The fixed area states can be constructed by gravitational path integrals. They have flat spectra, thus the entanglement Renyi entropy is independent with the index n. These are some interesting geometric states. In this talk I will show some “microcanonical” states constructed in CFTs by using the spectrum decomposition of reduced density. One could evaluate the density of eigenvalues, correlation functions etc in these states. Specially, I will show the CFTs with large central charge will show some interesting properties.  We argue these microcanonical states can be taken as a candidate for the fixed area states.  With the fixed area states one could construct the area operator.  We will show the expectation values of the area operator will give the RT formula, and its fluctuation is suppressed in the seimiclassical limit G→0.

参考文献：

[1] Wu-zhong Guo, Entanglement spectrum of geometric states, JHEP 02 (2021), 085, [arXiv:  2008.12430 [hep-th]]

[2] Wu-zhong Guo, Area operator and fixed area states in conformal field theories, Phys.Rev.D 106 (2022) 6, L061903, [arXiv: 2108.03346 [hep-th]]

报告人简介：

郭武中，2016年在中科院理论物理所获得博士学位，2014.10-2015.10京都大学基础理论物理研究所访问，2016年-2019年在台湾清华大学理论科学中心做博后，目前为华中科技大学物理学院副教授。研究领域为引力理论与场论，研究方向为AdS/CFT中几何态，纠缠等相关内容。

报告链接：

Area operator and fixed area states in CFTs_哔哩哔哩_bilibili