The terms that survive when the gravitational and material field equations are imposed takes the form $$\begin{aligned} \int d^4x \frac{ \delta S_m}{\delta \Psi ^A} \left[ \xi ^{\mu } \partial _{\mu } \Psi ^A - C^{A\nu }_{\mu }(\Psi , g_{\rho \sigma }?) \parti...