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Calin Iuliu Lazaroiu
기하학 수리물리 연구단
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Singular foliations for M-theory compactification

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Title
Singular foliations for M-theory compactification
Author(s)
Calin Iuliu Lazaroiu; Elena Mirela Bablic
Publication Date
2015-03
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.3, no., pp.116 -
Publisher
SPRINGER
Abstract
We use the theory of singular foliations to study N = 1 compactifications of elevendimensional supergravity on eight-manifolds M down to AdS3 spaces, allowing for the possibility that the internal part ξ of the supersymmetry generator is chiral on some locus W which does not coincide with M. We show that the complement M \W must be a dense open subset of M and that M admits a singular foliation ¯ F endowed with a longitudinal G2 structure and defined by a closed one form !, whose geometry is determined by the supersymmetry conditions. The singular leaves are those leaves which meet W. When ! is a Morse form, the chiral locus is a finite set of points, consisting of isolated zero-dimensional leaves and of conical singularities of seven-dimensional leaves. In that case, we describe the topology of ¯ F using results from Novikov theory. We also show how this description fits in with previous formulas which were extracted by exploiting the Spin(7)± structures which exist on the complement of W. Open Access, ⓒThe Authors.
URI
http://pr.ibs.re.kr/handle/8788114/2091
DOI
10.1007/JHEP03(2015)116
ISSN
1029-8479
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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