T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds

Details T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds

1999-07-19

arxiv.org/abs/hep-th/9907152v3

Nucl.Phys.B568:145-161,2000

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX; (V3): typos corrected and minor comments added (to appear in Nucl. Phys. B)

Scientific paper

10.1016/S0550-3213(99)00684-7

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 worldvolumes.

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