Hyperkähler Manifolds and Multiply Intersecting Branes

Abstract

This is a summary of the work in the author's recent paper with this title written with Jerome Gauntlett, George Papadopoulos and Paul Townsend, hep-th/9702202. We showed how to construct hyper-Kähler 8-metrics in terms of arrangements of three-dimensional hyperplanes in six-dimensional euclidean space. The slopes of the planes define two relatively prime integers $(p,q)$. Under reduction to ten dimensions and T-duality we get a geometric picture of the action of $SL(2,Z)$ on the $(NS\otimes NS,qR\otimes R)$ 5-branes of type IIB string theory. Configurations are exhibited with $\frac{3}{16}$'th SUSY.

6 pages Latex with Elsevier's espcr2.sty macros. Written version of my talk at SUSY97

References in corpus (1)

• Hyper-Kahler manifolds and multiply-intersecting branes

Cited by in corpus (2)

• M-theory compactifications on certain `toric' cones of $G_2$ holonomy
• M-theory on `toric' G_2 cones and its type II reduction