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Foliated Backgrounds for M-Theory Compactifications (I).
- Source :
-
AIP Conference Proceedings . 2015, Vol. 1694, p1-6. 6p. 1 Diagram. - Publication Year :
- 2015
-
Abstract
- Using the theory of foliations, we give a geometric and topological description of compact eight-manifolds which arise as internal spaces in N = 1 flux compactifications of M-theory down to AdS3. We prove that specifying such a supersymmetric background is equivalent with giving a codimension one foliation defined by a closed one-form and which carries a leafwise G2 structure, whose geometry we characterize explicitly. It can be shown that the leaves of this foliation acquire singularities on the chiral locus, which is a set with empty interior when the equations of motion for the supregravity four-form field strength are imposed, but here we concentrate only on the case of an everywhere non-chiral spinor. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1694
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 111932382
- Full Text :
- https://doi.org/10.1063/1.4937233