The Bogomolny equations are a set of partial differential equations that arise in the context of supersymmetric field theories and are particularly significant in the study of solitons, such as magnetic monopoles. Named after the physicist E.B. Bogomolny, these equations provide a way to find solutions that satisfy certain stability conditions. In the context of gauge theory, the Bogomolny equations generally involve a relationship between a gauge field and scalar fields.
New to topics? Read the docs here!