The worldsheet gravitino is the fermionic vector-spinor gauge field for local worldsheet supersymmetry, paired with the worldsheet metric in two-dimensional supergravity. In a locally supersymmetric string action it couples to the worldsheet supercurrent. Fixing its gauge and the bosonic conformal gauge leaves the usual flat rigid transformations on embeddings and worldsheet Majorana fermions; it should not be silently omitted when claiming an arbitrary curved-worldsheet locally supersymmetric action.
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