The spinorial geometry of supersymmetric heterotic string backgrounds

@inproceedings{UGran2005TheSG,
  title={The spinorial geometry of supersymmetric heterotic string backgrounds},
  author={U.Gran and P.Lohrmann and G.Papadopoulos},
  year={2005}
}
  • U.Gran, P.Lohrmann, G.Papadopoulos
  • Published 2005
  • Physics, Mathematics
  • We determine the geometry of supersymmetric heterotic string backgrounds for which all parallel spinors with respect to the connection $\hat\nabla$ with torsion $H$, the NS$\otimes$NS three-form field strength, are Killing. We find that there are two classes of such backgrounds, the null and the timelike. The Killing spinors of the null backgrounds have stability subgroups $K\ltimes\bR^8$ in $Spin(9,1)$, for $K=Spin(7)$, SU(4), $Sp(2)$, $SU(2)\times SU(2)$ and $\{1\}$, and the Killing spinors… CONTINUE READING

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