Lorentz generator
= Lorentz generator
{c}
{title2=$M_{\mu\nu}=-M_{\nu\mu}$}
Lorentz generators produce infinitesimal <Lorentz transformations>. In four dimensions they split into three rotation and three boost generators. Their action on <supercharges> uses the appropriate spinor representation, while their action on translations is the mixed <Poincare algebra> commutator. Signs in component formulas must agree with whether the generators act on states, operator columns or dual rows.