skip to main content

Title: Foliated backgrounds for M-theory compactifications (I)

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 AdS{sub 3}. 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 G{sub 2} 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.
Authors:
 [1] ;  [2]
  1. Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering Str. Reactorului no.30, P.O.BOX MG-6, Bucharest–Magurele 077125, Romania, Department of Physics, University of Craiova, 13 Al. I. Cuza Str., Craiova 200585 (Romania)
  2. Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang 790-784 (Korea, Republic of)
Publication Date:
OSTI Identifier:
22494338
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1694; Journal Issue: 1; Conference: TIM14 physics conference on physics without frontiers, Timisoara (Romania), 20-22 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPACTIFICATION; EQUATIONS OF MOTION; GEOMETRY; M-THEORY; SINGULARITY; SUPERSYMMETRY