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Brane Solitons and Hypercomplex Structures

G. Papadopoulos
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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.

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G. Papadopoulos. 2000-03-03. Brane Solitons and Hypercomplex Structures. https://arxiv.org/abs/math/0003024

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