Mathematics – Differential Geometry
Scientific paper
2000-03-03
Mathematics
Differential Geometry
23 pages, phyzzx.tex, Contribution to the Proceedings of the second meeting on "Quaternionic Structures in Mathematics and Phy
Scientific paper
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-K\"ahler with torsion. A relation between these hyper-K\"ahler geometries with torsion and quaternionic calibrations is also demonstrated.
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