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Gibbons, G. W.; Papadopoulos, G.; Stelle, K. S.

HKT and OKT geometries on soliton black hole moduli spaces. (English) Zbl 0925.83060

Nucl. Phys., B 508, No. 3, 623-658 (1997).
Summary: We consider Shiraishi’s metrics on the moduli space of extreme black holes. We interpret the simplification in the pattern of \(N\)-body interactions that he observed in terms of the recent picture of black holes in four and five dimensions as composites, made up of intersecting branes. We then show that the geometry of the moduli space of a class of black holes in five and nine dimensions is hyper-Kähler with torsion, and octonionic-Kähler with torsion, respectively. For this, we examine the geometry of point particle models with extended world-line supersymmetry and show that both of the above geometries arise naturally in this context. In addition, we construct a large class of hyper-Kähler with torsion and octonionic-Kähler with torsion geometries in various dimensions. We also present a brane interpretation of our results.

Cited in 2 Reviews
Cited in 46 Documents

MSC:

83C57 Black holes
53C80 Applications of global differential geometry to the sciences
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
83E30 String and superstring theories in gravitational theory

Keywords:

hyperKähler torsion geometry; octonionic Kähler torsion geometry; Shiraishi metrics; moduli space geometry; point particle models
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\textit{G. W. Gibbons} et al., Nucl. Phys., B 508, No. 3, 623--658 (1997; Zbl 0925.83060)
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