Video URL
https://pirsa.org/24110071Operator algebras and conformal field theory
APA
Kawahigashi, Y. (2024). Operator algebras and conformal field theory. Perimeter Institute for Theoretical Physics. https://pirsa.org/24110071
MLA
Kawahigashi, Yasuyuki. Operator algebras and conformal field theory. Perimeter Institute for Theoretical Physics, Nov. 11, 2024, https://pirsa.org/24110071
BibTex
@misc{ scivideos_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 for Theoretical Physics},
year = {2024},
month = {nov},
note = {PIRSA:24110071 see, \url{https://scivideos.org/pirsa/24110071}}
}
Yasuyuki Kawahigashi University of Tokyo
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.