Embedding of the Georgi-Glashow $SU(5)$ model in the superconformal algebra

We present a scheme to construct grand unified models based on the superconformal algebra and the inclusion of matter fields in the adjoint representation of supersymmetry. As an illustration, we implemented the Georgi-Glashow $SU(5)$ model. The model predics the existence of a hidden $(\mathbf{1},\mathbf{24},0)+(\mathbf{5},{\mathbf{5}}^{\ast },-y^{\mathrm{\prime }})+({\mathbf{5}}^{\ast },\mathbf{5},y^{\mathrm{\prime }})$ sector and an anomalous $U(1{)}_Z$.