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Calin Iuliu Lazaroiu
기하학 수리물리 연구단
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Foliated eight-manifolds for M-theory compactification

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Title
Foliated eight-manifolds for M-theory compactification
Author(s)
Calin Iuliu Lazaroiu; Elena Mirela Babalic
Publication Date
2015-01
Journal
Journal of High Energy Physics, v.1, no.1, pp.140 -
Publisher
Springer Berlin Heidelberg
Abstract
We characterize compact eight-manifolds M which arise as internal spaces in N = 1 flux compactifications of M-theory down to AdS3 using the theory of foliations, for the case when the internal part ξ of the supersymmetry generator is everywhere non-chiral. We prove that specifying such a supersymmetric background is equivalent with giving a codimension one foliation F of M which carries a leafwise G2 structure, such that the O’Neill-Gray tensors, non-adapted part of the normal connection and the torsion classes of the G2 structure are given in terms of the supergravity four-form field strength by explicit formulas which we derive. We discuss the topology of such foliations, showing that the C. algebra C(M/F) is a noncommutative torus of dimension given by the irrationality rank of a certain cohomology class constructed from G, which must satisfy the Latour obstruction. We also give a criterion in terms of this class for when such foliations are fibrations over the circle. When the criterion is not satisfied, each leaf of F is dense in M. c The Authors.
URI
http://pr.ibs.re.kr/handle/8788114/2148
DOI
10.1007/JHEP01(2015)140
ISSN
1029-8479
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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