SO(d, d) transformations of Ramond-Ramond fields and space-time spinors

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. (C) 2000 Elsevier Science B.V. All rights reserved.