An eight-dimensional Taub-NUT-like hyper-Kähler metric in harmonic superspace formalism

Abstract

Using the harmonic superspace formalism, we find the metric of a certain eight-dimensional manifold. This manifold is not compact and represents an eight-dimensional generalization of the Taub-NUT manifold. Our conjecture is that the metric that we derived is equivalent to the known metric possessing a discrete Z2 isometry, which may be obtained from the metric describing the dynamics of four Bogomol'nyi-Prasad-Sommerfield monopoles by Hamiltonian reduction.