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Lazaroiu, Calin Iuliu
기하학 수리물리 연구단
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Foliated backgrounds for M-theory compactifications (I)

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Title
Foliated backgrounds for M-theory compactifications (I)
Author(s)
Elena Mirela Babalic; Calin Iuliu Lazaroiu
Publication Date
2015-12
Journal
AIP Conference Proceedings, v.1694
Publisher
AMERICAN INSTITUTE OF PHYSICS INC.
Abstract
© 2015 AIP Publishing LLC 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.
URI
https://pr.ibs.re.kr/handle/8788114/12133
DOI
10.1063/1.4937233
ISSN
0094-243X
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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