Generalized symmetries of the graviton

A bstract We find the set of generalized symmetries associated with free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality ring-like regions. As expected from general QFT grounds, we a “electric” and dual “magnetic” compute their algebra. To do so, describe using phase space gauge-invariant electric magnetic variables constructed out curvature tensor. Electric fields satisfy constraints equivalent to ones stress tensor 3 d CFT. The give place group ? 20 charged under space-time symmetries. Finally, discuss similarities differences between linearized gravity theories have been introduced recently context fractonic systems condensed matter physics.