# Global symmetries in quantum gravity (QG) It is a commonly believed that there are no global symmetries in quantum gravity. ## Early arguments - [[BanksDixon1988]] - [[GiddingsStrominger1988]] - [[KalloshLindeLindeSusskind1995]] - [[Arkani-HamedMotlNicolisVafa2006]] - [[2010#Banks, Seiberg]]: a general argument that works for continuous global symmetry and infinite discrete symmetry ## In AdS/CFT - proof by [[2018#Harlow, Ooguri (Short)]] and [[2018#Harlow, Ooguri (Long)]]: both discrete and continuous global symmetry - [[2020#Chen, Lin]] - [[2020#Hsin, Iliesiu, Yang]] - [[2020#Harlow, Shaghoulian]] ## New papers - Topological reason [[Yonekura2020]] [](https://arxiv.org/pdf/2011.11868.pdf) - derived from [[0205 Higher-form symmetry|higher-form symmetry]]