Special unipotent representations of real classical groups: construction and unitarity

Let $G$ be a real classical group (including the real metaplectic group). We consider a nilpotent adjoint orbit $\check{\mathcal O}$ of $\check G$, the Langlands dual of $G$ (or the metaplectic Langlands dual of $G$ when $G$ is a real metaplectic group). We classify all special unipotent representat