PIRSA:24110071

Operator algebras and conformal field theory

Kawahigashi, Y. (2024). Operator algebras and conformal field theory. Perimeter Institute. https://pirsa.org/24110071

Kawahigashi, Yasuyuki. Operator algebras and conformal field theory. Perimeter Institute, Nov. 11, 2024, https://pirsa.org/24110071 

          @misc{ pirsa_PIRSA:24110071,
            doi = {10.48660/24110071},
            url = {https://pirsa.org/24110071},
            author = {Kawahigashi, Yasuyuki},
            keywords = {Mathematical physics},
            language = {en},
            title = {Operator algebras and conformal field theory},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {nov},
            note = {PIRSA:24110071 see, \url{https://pirsa.org}}
          }

Yasuyuki Kawahigashi University of Tokyo

Talk numberPIRSA:24110071
DOI10.48660/24110071
Collection
Talk Type Scientific Series
Subject

Abstract

The operator algebraic approach to quantum field theory is called algebraic quantum field theory. In this setting, we consider a family of operator algebras generated by observables in spacetime regions. This has been particularly successful in 2-dimensional conformal field theory. We present roles of tensor categories, modular invariance, classification theory, induction machinery and connections to vertex operator algebras.