Dorey’s theorem

Dorey's theorem is a concept in mathematical physics related to integrable systems, particularly in the study of certain equations describing physical phenomena. It states that the solutions to specific equations associated with these systems—often called Bethe ansatz equations—can be directly related to geometric objects known as algebraic curves. In simpler terms, Dorey's theorem reveals a deep connection between complex equations describing particle interactions and geometric shapes, allowing researchers to understand and solve these equations more easily by studying the properties of these curves. This insight helps in analyzing the behavior of integrable models in areas like quantum field theory.