On parallelisable NS-NS backgrounds
高能物理 - 理论
2008-11-26 v4 微分几何
摘要
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.
引用
@article{arxiv.hep-th/0305079,
title = {On parallelisable NS-NS backgrounds},
author = {José Figueroa-O'Farrill},
journal= {arXiv preprint arXiv:hep-th/0305079},
year = {2008}
}
备注
14 pages (v2: corrected comments about the dilaton; v3: corrected the list of solutions after properly taking into account the dilaton equation; v4: added one reference)