科研之友
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摘要
We summarize the foliation approach to N = 1 compactifications of eleven dimensional supergravity on eight-manifolds M (without boundary) down to AdS(3) spaces for the case when the internal part xi of the supersymmetry generator is chiral on some proper subset W of M. In this case, a topological no-go theorem implies that the complement M\W must be a dense open subset, while M admits a singular foliation (F) over bar (in the sense of Haefliger) which is defined by a closed one-form omega and is endowed with a longitudinal G(2) structure. The geometry of this foliation is determined by the supersymmetry conditions. We also describe the topology of (F) over bar in the case when omega is a Morse form.
- 出版日期2016
