Classification of Interacting Topological Crystalline Superconductors

This paper addresses the challenging problem of classifying interacting topological superconductors (TSCs) in three dimensions, particularly those protected by crystalline symmetries. It provides a framework for systematically classifying these complex systems, which is a significant advancement in understanding topological phases of matter. The use of domain wall decoration and the crystalline equivalence principle allows for a systematic approach to a previously difficult problem. The paper's focus on the 230 space groups highlights its relevance to real-world materials.