Gandalf Lechner
Integrable quantum field theories between modular theory and the Yang-Baxter equation
Integrable quantum field theories on two-dimensional Minkowski space can be realized in terms of a solution to the Yang-Baxter equation (two-particle scattering operator) and a localization structure (defined in terms of Tomita-Takesaki modular theory). In this talk I will review this construction programme from a mathematical perspective, outlining existing results and open problems.