Nurowski introduced a conformal class of metrics associated to any generic rank 2 distribution in 5 dimensions. From this conformal class one can use the Fefferman-Graham construction to define a pseudo-Riemannian metric in 7 dimensions. All such metrics are known to have special holonomy, that is, the holonomy is a subgroup of the split form of the exceptional group G .
This worksheet provides details of computations contained in the paper "Explicit Ambient Metrics and Holonomy", arXiv:1501.00852, by I. M. Anderson, T. Leistner and P. Nurowski,
Anderson, Ian M.; Leistner, Thomas; and Nurowski, Pawel, "Fefferman-Graham Metrics from Nurowski Conformal Structures and their Infinitesimal Holonomy" (2015). Research Vignettes. Paper 10.