Graded Dirac bracket
= Graded Dirac bracket
{title2=$\{\psi^m,\psi^n\}_D=-i\eta^{mn}$}
A <Dirac bracket> on a graded phase space eliminates second-class constraints while respecting the <graded Poisson bracket>. The fermionic kinetic term $i\psi^m\dot\psi_m/2$ gives $\{\psi^m,\psi^n\}_D=-i\eta^{mn}$. Quantization then gives $\{\widehat\psi^m,\widehat\psi^n\}_+=\eta^{mn}$.