2000/03/03 by G. Papadopoulos, Papadopoulos, G.
Mathematics · Physics and Astronomy · #53A40 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th #math.DG #msc:53A40
paper · pdf · doi:10.48550/arxiv.math/0003024
23 pages, phyzzx.tex, Contribution to the Proceedings of the second meeting on "Quaternionic Structures in Mathematics and Physics"
arxiv created 2000/03/03 · openalex publication_date 2000/03/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The investigation of strings and M-theory involves the understanding of various BPS solitons which in a certain approximation can be thought of as solutions of ten- and eleven-dimensional supergravity theories. These solitons have a brane or a intersecting brane interpretation, saturate a bound and are associated with parallel spinors with respect to a connection of the spin bundle of spacetime. A class of intersecting brane configurations is examined and it is shown that the geometry of spacetime is hyper-Kähler with torsion. A relation between these hyper-Kähler geometries with torsion and quaternionic calibrations is also demonstrated.