%0 Journal Article %T Parallelisable Heterotic Backgrounds %A Jos¨¦ Figueroa-O'Farrill %A Teruhiko Kawano %A Satoshi Yamaguchi %J Mathematics %D 2003 %I arXiv %R 10.1088/1126-6708/2003/10/012 %X We classify the simply-connected supersymmetric parallelisable backgrounds of heterotic supergravity. They are all given by parallelised Lie groups admitting a bi-invariant lorentzian metric. We find examples preserving 4, 8, 10, 12, 14 and 16 of the 16 supersymmetries. %U http://arxiv.org/abs/hep-th/0308141v1