/SO(d,d) transformations of Ramond-Ramond fields and space-time spinors
Abstract
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.
- Publication:
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Nuclear Physics B
- Pub Date:
- September 2000
- DOI:
- 10.1016/S0550-3213(00)00337-0
- arXiv:
- arXiv:hep-th/9912236
- Bibcode:
- 2000NuPhB.583..431H
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 25 pages, LaTeX. V2: Added references, comments, and a new section on the relation to the transformation of R-R potentials as SO(d,d) spinors