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Lattice Edge Theories for Topological Phases of Matter - Michael Levin

Institute for Advanced Study via YouTube

Overview

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Explore lattice edge theories for topological phases of matter in this high-energy theory seminar. Delve into the description of edge excitations in (2+1)D topological phases using both continuum field theories and lattice-like edge theories with finite-dimensional Hilbert spaces. Examine several examples of finite-dimensional edge theories, focusing on "ungappable" cases that cannot be gapped by local interactions. Learn about the importance of edge theories, their existence, and the concept of chiral central charge. Distinguish between two types of edges and phases, and understand the strategy behind lattice edge theory. Investigate the addition of scattering terms and gain insights into this complex area of condensed matter physics.

Syllabus

Introduction
Topological phases of matter
Edge theory
local operators
Why should we care
Do edge theories exist
What is the edge theory
Chiral Central Charge
Two Types of Edges
Types of Phases
Type 1 vs Type 2
Lattice Edge Theory Strategy
Adding Scattering Terms
Remarks

Taught by

Institute for Advanced Study

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