Title：Exact Construction of Codimension two Holography for Wedges
Speaker：Miao, Rongxin (苗荣欣)
Affiliation：Sun Yat-sen University
Time：14:00 - 15:30, 16/9/2020
Tencent Meeting ID：684 679 272
Inviter：Wen, Qiang
Abstract：Recently, a novel codimension two holography called wedge holography is proposed. It is conjectured that a gravitational theory in d+1 dimensional wedge spacetime is dual to a d-1 dimensional CFT on the corner of the wedge. In this talk, I give an exact construction of the wedge holography. Interestingly, we find an exact map from the gravitational solution to vacuum Einstein equations in AdS/CFT to the one in wedge holography. By applying this map, we prove the equivalence between wedge holography and AdS/CFT for vacuum Einstein gravity, by showing that the classical gravitational actions are the same for the two theories. As an application of this powerful equivalence, we derive easily the holographic Weyl anomaly, holographic Entanglement/Renyi entropy and correlation functions for wedge holography. Besides, we discuss the general solutions of wedge holography and argue that they correspond to the AdS/CFT with suitable matter fields. Finally, we generalize our discussions to dS/CFT and Minkowski/CFT. Remarkably, we find that AdS/CFT, dS/CFT and Minkowski/CFT can be unified in the framework of codimension two holography in asymptotically AdS. This talk is based on arXiv: 2009.06263 .
报告人介绍：苗荣欣，中山大学副教授。2008年本科毕业于南开大学，2014年于中国科学技术大学获得博士学位。2014年-2018年先后在德国马普引力所和中国台湾清华大学做博士后工作。2018年加入中山大学，任副教授。主要从事超引力和场论的研究，特别是规范/引力对应、全息的量子纠缠和边界共形场论的研究。近年来主要成果为发现了边界附近外尔反常可以诱导产生新的反常电流。
