On parallelisable NS-NS backgrounds

Details On parallelisable NS-NS backgrounds On parallelisable NS-NS backgrounds

2003-05-09

arxiv.org/abs/hep-th/0305079v4

Class.Quant.Grav.20:3327-3340,2003

Physics

High Energy Physics

High Energy Physics - Theory

14 pages (v2: corrected comments about the dilaton; v3: corrected the list of solutions after properly taking into account the

Scientific paper

10.1088/0264-9381/20/15/304

We classify non-dilatonic NS-NS type II supergravity backgrounds admitting a consistent absolute parallelism. They are all given by parallelised Lie groups admitting scalar flat bi-invariant lorentzian metrics. There are seven different classes, some of them containing moduli. For each class we determine the amount of supersymmetry which is preserved: there are examples with 16, 18, 20, 22, 24, 28 and 32 supersymmetries.

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