Operator algebras and conformal field theory
PIRSA ID:
https://pirsa.org/24110071
Series:
Mathematical Physics
Event Type:
Seminar
Scientific Area(s):
Mathematical Physics
Speaker(s):
- Yasuyuki Kawahigashi, University of Tokyo
Event Link:
https://events.perimeterinstitute.ca/e/862
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.