Speaker
Description
In the lectures we give an introduction to the integrability of systems with generalised symmetries. We will give a brief introduction to fusion categories and non-invertible symmetries. Such symmetries are a natural generalisation of symmetry groups. They appear for example in conformal field theories and defects. Fusion categories naturally give rise to anyonic models which are a special type of spin chains that have Hilbert spaces with constraints, such as a Rydberg blockade. We will discuss the construction of anyonic chains and explain how standard tools of integrability such as the R-matrix and Lax operator generalise to this setting. We will work out some examples, discuss some recent results and connections to 2 dimensional conformal field theories.