Supertranslation
= Supertranslation
A <supertranslation> is generated by translations and <supercharges>, excluding the <Lorentz transformations>. For flat Majorana <superspace> with $\Pi^m=dX^m+i\bar\theta\gamma^m d\theta$, the rigid odd transformation $\delta\theta=\epsilon$, $\delta X^m=-i\bar\epsilon\gamma^m\theta$ leaves $\Pi^m$ invariant. Its commutator gives an ordinary translation.