Student Profile: Edric Wang
Edric Wang is an undergraduate mathematics and physics student at the University of Sydney where he is a recipient of the Chancellor’s Award.
Tensor Networks and Categories
Higher categories give an algebraic description of physics on spacetime. In the most basic formulation, higher categories capture topological field theories only. Happily, topological field theories are today important in condensed matter physics, providing a mathematical formalism for studying topological phases of matter. Recent work in condensed matter physics and quantum information theory has emphasised the study of topological phases via tensor networks. This project will investigate the mathematical connections between tensor networks, and higher categories. In particular, we will study examples of reconstructing tensor categories from tensor networks, along with reconstructing bimodules from 1-dimensional defects in tensor networks.