In this talk, I will discuss a relation between Gaudin integrable models and multipoint conformal blocks. The latter are the building blocks of correlation functions in conformal field theories (in arbitrary dimension). After reviewing their definition, I will explain how these conformal blocks can be characterised as eigenvectors of a complete set of commuting differential operators, arising as a specific limit of the Hamiltonians of a Gaudin model. [The talk will also be streamed online, please ask the organizers for the link.]

ETH Inst. für Theoretische Studien