Mon, Feb 1, 2021, 2:30 pm

Location:

via Zoom

Speaker(s):

Xiao-Gang Wen

Massachusetts Institute of Technology

"A Categorical and Holographic View of Symmetry"

**To connect to the HET Seminar via Zoom, please click the following link:**

https://theias.zoom.us/j/83432499354?pwd=TkhMZWFJK2E1UzRyeUppU01pZVQwUT09

Abstract: A symmetry is usually described by transformations and an associated group. However, a symmetry can also be described by the conservation of charges, encoded by their fusion rule. This leads to a description of symmetry based on fusion category. However, only fusion categories that describe excitations of of a topological order in one higher dimension correspond to a non-trivial symmetry. In fact, the symmetry directly correspond to the topological order in one higher dimension, which leads to a holographic view of symmetry.