Harmonic Space Construction of the Quaternionic Taub-NUT metric

Abstract

We present details of the harmonic space construction of a quaternionic extension of the four-dimensional Taub-NUT metric. As the main merit of the harmonic space approach, the metric is obtained in an explicit form following a generic set of rules. It exhibits $SU(2)\times U(1)$ isometry group and depends on two parameters, Taub-NUT `mass' and the cosmological constant. We consider several limiting cases of interest which correspond to special choices of the involved parameters.

20 pages, Latex2e, no figures, a minor change in the conclusion

References in corpus (1)

• Nut Charge, Anti-de Sitter Space and Entropy

Cited by in corpus (4)

• U(1) x U(1) Quaternionic Metrics from Harmonic Superspace
• Holography and Quaternionic Taub-NUT
• Quaternionic Extension of the Double Taub-NUT Metric
• Off-shell invariants of linearized $4D,\mathcal{N}=2$ supergravity in the harmonic approach