Operator algebras and conformal field theory

PIRSA ID: https://pirsa.org/24110071
Event Type: Seminar
Domaine(s) scientifique(s) :
Mathematical Physics
Speaker(s):
  • Yasuyuki Kawahigashi, University of Tokyo

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.