On the Holographic Dual of a Topological Symmetry Operator

Understand

We study the holographic dual of a topological symmetry operator in the context of the AdS/CFT correspondence.

• Symmetry operators arise from topological field theories localized on a subspace of the boundary CFT spacetime.
• We use bottom up considerations to construct the topological sector associated with their bulk counterparts.
• In particular, by exploiting the structure of entanglement wedge reconstruction we argue that the bulk counterpart has a non-topological worldvolume action, i.e., it describes a dynamical object.