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

Dec, 1999
21 pages
Published in:
  • Nucl.Phys.B 583 (2000) 431-453
e-Print:
Report number:
  • CPTH-S756-1299

Citations per year

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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.
  • 11.25.-w
  • 04.65.+e
  • T-duality
  • O(d,d) transformations
  • String theory
  • Supergravity
  • [formula omitted] transformations
  • string model
  • field theory: tensor
  • spinor