T-duality, space-time spinors and R–R fields in curved backgrounds

Abstract

We obtain the T-duality transformations of space-time spinors (the supersymmetry transformation parameters, gravitinos and dilatinos) of type-II theories in curved backgrounds with an isometry. The transformation of the spinor index is shown to be a consequence of the twist that T-duality introduces between the left- and right-moving local Lorentz frames. The result is then used to derive the T-duality action on Ramond–Ramond field strengths and potentials in a simple way. We also discuss the massive IIA theory and, using duality, give a short derivation of “mass”-dependent terms in the Wess–Zumino actions on the D-brane world-volumes.