= Solution
\b[The supersymmetry algebra closes on spacetime translations.] Its <supercharges> are <Weyl spinors>, and
$$
\{Q_\alpha,\bar Q_{\dot\beta}\}=2\sigma^\mu_{\alpha\dot\beta}P_\mu.
$$
Thus the composition of two odd <supersymmetry transformations> moves the spacetime argument. The generators also change <spin> and connect <bosons> with <fermions>. They extend the <Poincaré group> to the <Super-Poincaré group>, rather than forming an internal symmetry that commutes with spacetime transformations.
Back to article page