PIRSA:17030048

What Chern–Simons theory assigns to a point

Henriques, A. (2017). What Chern–Simons theory assigns to a point. Perimeter Institute. https://pirsa.org/17030048

Henriques, Andre. What Chern–Simons theory assigns to a point. Perimeter Institute, Mar. 01, 2017, https://pirsa.org/17030048 

          @misc{ pirsa_PIRSA:17030048,
            doi = {10.48660/17030048},
            url = {https://pirsa.org/17030048},
            author = {Henriques, Andre},
            keywords = {Other},
            language = {en},
            title = {What Chern{\textendash}Simons theory assigns to a point},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {mar},
            note = {PIRSA:17030048 see, \url{https://pirsa.org}}
          }

Andre Henriques

University of Oxford

Talk number
PIRSA:17030048
Collection
Talk Type
Subject
Abstract

By a celebrated theorem of Jacob Lurie, an extended TQFT is entirely determined by what it assigns to a point. It is natural to ask whether this theorem applies to TQFTs of physical interest. And, if yes, what do these theories assign to a point? In this talk, I will propose an answer for the case of 3-dimensional Chern-Simons theory. I will then
explore the relation to line defects in chiral WZW models, and boundary conditions for full WZW models. At last, I will present a conjectural classification of the above mentioned line defects and boundary conditions.