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.
Keywords
Cite
@article{arxiv.hep-th/9912236,
title = {SO(d,d) Transformations of Ramond-Ramond Fields and Space-time Spinors},
author = {S. F. Hassan},
journal= {arXiv preprint arXiv:hep-th/9912236},
year = {2009}
}
Comments
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