Holographic Symmetries and Generalized Order Parameters for Topological Matter

Understand

We introduce a universally applicable method, based on the bond-algebraic theory of dualities, to search for generalized order parameters in disparate systems including non-Landau systems with topological order.

• A key notion that we advance is that of {\em holographic symmetry}.
• It reflects situations wherein global symmetries become, under a duality mapping, symmetries that act solely on the system's boundary.
• Holographic symmetries are naturally related to edge modes and localization.