Geometry of Hyper-Kähler Connections with Torsion

Details Geometry of Hyper-Kähler Connections with Torsion Geometry of Hyper-Kähler Connections with Torsion

1999-08-03

arxiv.org/abs/math/9908015v1

Commun.Math.Phys. 213 (2000) 19-37

Mathematics

Differential Geometry

21 pages, LaTeX

Scientific paper

10.1007/s002200000231

The internal space of a N=4 supersymmetric model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy in $\SP(n)$. We study the mathematical background of this type of connections. In particular, we relate it to classical Hermitian geometry construct homogeneous as well as inhomogeneous examples, characterize it in terms of holomorphic data, develop its potential theory and reduction theory.

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