IAS HET Seminar | Michael Levin, University of Chicago | "Lattice Edge Theories for Topological Phases of Matter" | Wolfensohn Hall (behind Bloomberg Hall) & on Zoom

Mon, Oct 25, 2021, 2:30 pm
Wolfensohn Hall (behind Bloomberg Hall) & on Zoom

Abstract: Edge excitations of (2+1)D topological phases are usually described using continuum field theories. But the boundaries of some (2+1)D topological phases can also be described using lattice-like edge theories that have a finite dimensional Hilbert space for a finite size boundary. I will discuss several examples of such finite dimensional edge theories. The most interesting examples are ``ungappable'': they have the property that they cannot be gapped by any local interaction.