Superconductivity in particle accelerators

This text is a full transcription of a lecture was given in the Joint Universities Accelerator School (JUAS) in 2023. A much shorter version is to be published in the JUAS book in 2024, along with all other lectures from the JUAS school. The aim of this lecture is to provide to physicists non-expert in materials science a glimpse on how superconducting materials are tailored (and must be chosen) for their specific application in accelerators.