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The holonomy of the ambient metrics of Nurowski's conformal structuresassociated to generic real-analytic 2-plane fields on 5-manifolds isinvestigated. It is shown that the holonomy is always contained in the splitreal form G_2 of the exceptional Lie group, and is equal to G_2 for an opendense set of 2-plane fields given by explicit conditions. In particular, thisgives an infinite-dimensional family of metrics of holonomy equal to split G_2.These results generalize work of Leistner-Nurowski. The inclusion of theholonomy in G_2 is established by proving an ambient extension theorem forparallel tractors for conformal structures in general signature and dimension,which is expected to be of independent interest. Parallel extension beyond thecritical order in even dimensions is considered in certain cases.

Parallel tractor extension and ambient metrics of holonomy split G_2