SO(d,d) transformations of Ramond–Ramond fields and space–time spinors Original Research Article

We explicitly construct the SO(d,d) transformations of Ramond–Ramond field strengths and potentials, along with those of the space–time supersymmetry parameters, the gravitinos and the dilatinos in type-II theories. The results include the case when the SO(d,d) transformation involves the time direction. The derivation is based on the compatibility of SO(d,d) transformations with space–time supersymmetry, which automatically guarantees compatibility with the equations of motion. It involves constructing the spinor representation of a twist that an SO(d,d) action induces between the local Lorentz frames associated with the left- and right-moving sectors of the worldsheet theory. The relation to the transformation of R–R potentials as SO(d,d) spinors is also clarified.