The spinorial geometry of supersymmetric IIB backgrounds

@inproceedings{Gran2005TheSG,
  title={The spinorial geometry of supersymmetric IIB backgrounds},
  author={Ulf Gran and J. B. Gutowski and George Papadopoulos},
  year={2005}
}
We solve the Killing spinor equations of supersymmetric IIB backgrounds which admit one supersymmetry and the Killing spinor has stability subgroup G2 in Spin(9, 1) × U(1). We find that such backgrounds admit a timelike Killing vector field and the geometric structure of the spacetime reduces from Spin(9, 1) × U(1) to G2. We determine the type of G2 structure that the spacetime admits by computing the covariant derivatives of the spacetime forms associated with the Killing spinor bilinears. We… CONTINUE READING

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