Generalized symmetries of the graviton

BENEDETTI VALENTIN

Filadelfia

Seminario; Seminario en University of Pennsylvania; 2021

University of Pennsylvania

In this talk, we will discuss the set of generalized symmetries associated with the free graviton theory in (3+1) dimensions. The group of generalized symmetries is generated by topological operators that are charged under space-time symmetries and violate Haag duality in ring-like regions. We will define these topological operators using a phase space gauge-invariant "electric" and "magnetic" dual variables constructed out of the Riemann curvature tensor and compute their algebra. Finally, we discuss similarities between linearized gravity and tensor gauge theories that have been introduced recently in the context of fractonic systems in condensed matter physics.