= Supertranslation-invariant superspace coframe
{title2=$\Pi^m=dX^m+i\bar\theta\gamma^m d\theta,\quad d\theta^\alpha$}
The displayed one-forms give an invertible triangular change from the coordinate coframe on flat Majorana <superspace>. A rigid <supertranslation> has $d\epsilon=0$, and the variation of $dX^m$ cancels that of $i\bar\theta\gamma^m d\theta$. Their <Maurer-Cartan equation> is $d\Pi^m=i\,d\bar\theta\gamma^m d\theta$. The bosonic frame transforms as a Lorentz vector and the odd frame as a <Majorana spinor>.
Back to article page