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Almost contact structures on manifolds with a G2 structure
- de la Ossa, Xenia (author)
-
- Larfors, Magdalena, 1978- (author)
- Uppsala universitet,Teoretisk fysik
-
- Magill, Matthew (author)
- Uppsala universitet,Teoretisk fysik
- (creator_code:org_t)
- 2021
- English 62 s.
- Other publication (other academic/artistic)
Abstract
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- We review the construction of almost contact metric (three-) structures, abbreviated ACM(3)S, on manifolds with a G2 structure. These are of interest for certain supersymmetric configurations in string and M-theory. We compute the torsion of the SU(3) structure associated to an ACMS and apply these computations to heterotic G2 systems and supersymmetry enhancement. We initiate the study of the space of ACM3Ss, which is an infinite dimensional space with a local product structure and interesting topological features. Tantalising links between ACM3Ss and associative and coassociative submanifolds are observed.
Subject headings
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
Keyword
- High Energy Physics - Theory
- Mathematics - Differential Geometry
- Mathematics
- Matematik
- Physics and Astronomy specializing in Theoretical Physics
- Fysik och astronomi med inriktning mot teoretisk fysik
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- ovr (subject category)
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