Operator algebras and conformal field theory
APA
Kawahigashi, Y. (2024). Operator algebras and conformal field theory. Perimeter Institute. https://pirsa.org/24110071
MLA
Kawahigashi, Yasuyuki. Operator algebras and conformal field theory. Perimeter Institute, Nov. 11, 2024, https://pirsa.org/24110071
BibTex
@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}} }
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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.