Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-linear uplift Ans\"atze for the internal metric and the four-form
  field-strength of maximal supergravity   The uplift of SO(8) gauged N=8 supergravity to 11-dimensional supergravity is
well studied in the literature. It is given by consistent relations between the
respective vector and scalar fields of both theories. For example, recent work
provided non-linear uplift Ans\"atze for the scalar degrees of freedom on the
internal manifold: the inverse metric and the three-form flux with mixed index
structure. However, one always found the metric of the compactified manifold by
inverting the inverse metric --- a task that was only possible in particular
cases, e.g. for the G$_2$, SO(3)$\times$SO(3) or SU(3)$\times$U(1)$\times$U(1)
invariant solutions of 11-dimensional supergravity.
  In this paper, I present a direct non-linear uplift Ansatz for the internal
metric in terms of the four-dimensional scalars and the Killing forms on the
compactified background manifold. Based on this formula, I also find new uplift
Ans\"atze for the warp factor and the full three-form flux. Finally, I provide
a direct non-linear uplift Ansatz for the internal four-form field-strength in
terms of the metric, the flux as well as the four-dimensional scalars and
background Killing forms. This new formula does not require to calculate the
derivative of the flux.
  My results may be generalized to other compactifications, e.g. the reduction
from type IIB supergravity to five dimensions.

12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th