  Braided-enriched monoidal categories were introduced in work of
Morrison-Penneys, where they were characterized using braided central functors.
Recent work of Kong-Yuan-Zhang-Zheng and Dell extended this characterization to
an equivalence of 2-categories. Since their introduction, braided-enriched
fusion categories have been used to describe certain phenomena in topologically
ordered systems in theoretical condensed matter physics. While these systems
are unitary, there was previously no general notion of unitarity for enriched
categories in the literature. We supply the notion of unitarity for enriched
categories and braided enriched monoidal categories and extend the above
2-equivalence to the unitary setting.
