PIRSA:24110071 Scientific Series Mathematical physics

DOI10.48660/24110071

Series: Mathematical Physics

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}}
}

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.

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