Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics

Understand

We outline a holographic framework that attempts to unify Landau and beyond-Landau paradigms of quantum phases and phase transitions.

• Leveraging a modern understanding of symmetries as topological defects/operators, the framework uses a topological order to organize the space of quantum systems with a global symmetry in one lower dimension.
• The global symmetry naturally serves as an input for the topological order.
• In particular, we holographically construct a String Operator Algebra (SOA) which is the building block of symmetric quantum systems with a given symmetry $G$ in one lower dimension.