Volume 19, Issue 2, June 2012, Pages 226 - 235
Hyperkähler Structure of the Taub-NUT Metric
Authors
G. Gaeta
Dipartimento di Matematica, Università degli Studi di Milano, v. Saldini 50, Milano I-20133, Italy,giuseppe.gaeta@unimi.it
M. A. Rodríguez
Departamento de Física Teórica II, Universidad Complutense, Madrid 28040, Spain,rodrigue@fis.ucm.es
Received 10 November 2011, Accepted 9 January 2012, Available Online 4 July 2012.
- DOI
- 10.1142/S1402925112500143How to use a DOI?
- Keywords
- Hyperkähler manifolds; Taub-NUT metric
- Abstract
The Taub-NUT four-dimensional space-time can be obtained from Euclidean eight-dimensional one through a momentum map construction; the HKLR theorem [9] guarantees the hyperkähler structure of R8 descends to a hyperkähler structure in the Taub-NUT space. Here we present a detailed and fully explicit construction of the hyperkähler structure of a space-time with a Taub-NUT metric.
- Copyright
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - G. Gaeta AU - M. A. Rodríguez PY - 2012 DA - 2012/07/04 TI - Hyperkähler Structure of the Taub-NUT Metric JO - Journal of Nonlinear Mathematical Physics SP - 226 EP - 235 VL - 19 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500143 DO - 10.1142/S1402925112500143 ID - Gaeta2012 ER -