Almost contact structures on manifolds with a G2 structure

• 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. 

Ämnesord

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)

Nyckelord

High Energy Physics - Theory

Mathematics - Differential Geometry

Mathematics

Matematik

Physics and Astronomy specializing in Theoretical Physics

Fysik och astronomi med inriktning mot teoretisk fysik

Publikations- och innehållstyp

vet (ämneskategori)

ovr (ämneskategori)