Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal structures with explicit ambient metrics and conformal G_2
  holonomy   Given a generic 2-plane field on a 5-dimensional manifold we consider its
(3,2)-signature conformal metric [g] as defined in math.DG/0406400. Every
conformal class [g] obtained in this way has very special conformal holonomy:
it must be contained in the split-real-form of the exceptional group G_2. In
this note we show that for special 2-plane fields on 5-manifolds the conformal
classes [g] have the Fefferman-Graham ambient metrics which, contrary to the
general Fefferman-Graham metrics given as a formal power series, can be written
in an explicit form. We propose to study the relations between the conformal
G_2-holonomy of metrics [g] and the possible pseudo-Riemannian G_2-holonomy of
the corresponding ambient metrics.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an