Researchers have developed a method to construct non-abelian uni-vector deformations of solutions in non-abelian Einstein-Maxwell theories and gauged supergravities. These deformations are obtained via Scherk-Schwarz reductions of general relativity and double field theory, respectively. This advance allows for the exploration of new configurations in these fundamental theories, extending the understanding of how non-abelian symmetries can influence field solutions.

The work builds upon previous results concerning abelian uni-vector deformations. Specifically, it is shown that non-abelian deformations in Einstein-Maxwell theories can be presented as coordinate transformations within the parent theory, general relativity. This connection is crucial as it unifies the description of these deformations under a broader geometric framework, suggesting a deep relationship between symmetry properties and spacetime structure.

Concrete examples of deformed backgrounds are provided for both cases studied: Einstein-Maxwell theories and gauged supergravities. These examples illustrate the applicability of the proposed method and validate the consistency of the theoretical constructions. The ability to generate and analyze these deformed solutions is fundamental for investigating properties such as stability, causality, and the physical implications of gravity theories with gauge fields.