Super-Weyl symmetry ($\delta {\chi }_{\mu }={\gamma }_{\mu }\rho$)

A local fermionic gauge symmetry shifting the gamma-trace part of the worldsheet gravitino, schematically $\delta {\chi }_{\mu }={\gamma }_{\mu }\rho$. Together with local worldsheet supersymmetry it permits the gravitino to be set to zero locally in superconformal gauge. Global spin structures and moduli still remain.