Worldline supersymmetry algebra ($\{\mathcal{Q},\mathcal{Q}{\}}_D=-2i\mathcal{H}$)

The spinning particle constraints $\mathcal{Q}={\psi }^m{p}_m$ and $\mathcal{H}=p^2/2$ obey $\{\mathcal{Q},\mathcal{Q}{\}}_D=-2i\mathcal{H}$ and $\{\mathcal{Q},\mathcal{H}{\}}_D=0$. In the quantum theory ${\hat{\mathcal{Q}}}^2=\hat{\mathcal{H}}$, so the fermionic physical-state equation implies the mass-shell equation.