PIRSA:09050041

Groupoids of Connections and Higher-Algebraic QFT

Morton, J. (2009). Groupoids of Connections and Higher-Algebraic QFT. Perimeter Institute. https://pirsa.org/09050041

Morton, Jeffrey. Groupoids of Connections and Higher-Algebraic QFT. Perimeter Institute, May. 10, 2009, https://pirsa.org/09050041 

          @misc{ pirsa_PIRSA:09050041,
            doi = {10.48660/09050041},
            url = {https://pirsa.org/09050041},
            author = {Morton, Jeffrey},
            keywords = {},
            language = {en},
            title = {Groupoids of Connections and Higher-Algebraic QFT},
            publisher = {Perimeter Institute},
            year = {2009},
            month = {may},
            note = {PIRSA:09050041 see, \url{https://pirsa.org}}
          }

Jeffrey Morton Western University

Talk numberPIRSA:09050041
DOI10.48660/09050041
Collection
Talk Type Conference

Abstract

This talk will discuss, illustrated by a toy example, how to construct "higher-algebraic" quantum field theories using groupoids. In particular, the groupoids describe configuration spaces of connections, together with their gauge symmetries, on spacetime, space, and boundaries of regions in space. The talk will describe a higher-algebraic "sum over histories", and how this construction is related to usual QFT's, and particularly the relation to the case of the Chern-Simons theory.