Twisted Araki-Woods Algebras, the Yang-Baxter Equation, and quantum field theory
Mathematical Physics
2023-11-27 v1 math.MP
Operator Algebras
Abstract
This article reviews recent work with Correa da Silva on twisted Araki-Woods algebras, including an introduction to twisted Fock spaces and standard subspaces. We discuss a new family of examples of that framework, coming from the set-theoretic Yang-Baxter equation, and explain the relevance of twisted Araki-Woods algebras in the construction of quantum field theoretic models.
Keywords
Cite
@article{arxiv.2311.14610,
title = {Twisted Araki-Woods Algebras, the Yang-Baxter Equation, and quantum field theory},
author = {Gandalf Lechner},
journal= {arXiv preprint arXiv:2311.14610},
year = {2023}
}
Comments
This is a contribution to the proceedings of the XL Workshop on Geometric Methods in Physics 2023 in Bia{\l}owie\.za