Spacetime supercharge from an RNS spin field (source code)

= Spacetime supercharge from an RNS spin field
{title2=$Q_A=\oint e^{-\phi_{\rm gh}/2}S_A$}

In the critical <RNS string>, a spacetime <supersymmetry> generator is $Q_A=\oint e^{-\phi_{\rm gh}/2}S_A$. The <RNS spin field> has weight $5/8$ and the superghost exponential has weight $3/8$, making a weight-one current. The <GSO projection> ensures the locality needed to act on retained vertex operators. Its operator products generate translations and relate <NS sector> and <R sector> states.