Brane Solitons and Hypercomplex Structures

Abstract

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.

23 pages, phyzzx.tex, Contribution to the Proceedings of the second meeting on "Quaternionic Structures in Mathematics and Physics"

References in corpus (2)

• M Theory As A Matrix Model: A Conjecture
• Higher-dimensional resolution of dilatonic black hole singularities

Cited by in corpus (5)

• Superstrings with Intrinsic Torsion
• Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
• The spinorial geometry of supersymmetric heterotic string backgrounds
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• Parallel spinors and connections with skew-symmetric torsion in string theory