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arxiv: hep-th/0308141 · v1 · submitted 2003-08-21 · ✦ hep-th · math.DG

Parallelisable Heterotic Backgrounds

classification ✦ hep-th math.DG
keywords backgroundsheteroticparallelisableadmittingbi-invariantclassifyexamplesfind
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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.

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