Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 6d conformal gravity   In the framework of ordinary-derivative approach, conformal gravity in
space-time of dimension six is studied. The field content, in addition to
conformal graviton field, includes two auxiliary rank-2 symmetric tensor
fields, two Stueckelberg vector fields and one Stueckelberg scalar field. Gauge
invariant Lagrangian with conventional kinetic terms and the corresponding
gauge transformations are obtained. One of the rank-2 tensor fields and the
scalar field have canonical conformal dimension. With respect to these fields,
the Lagrangian contains, in addition to other terms, a cubic potential. Gauging
away the Stueckelberg fields and excluding the auxiliary fields via equations
of motion, the higher-derivative Lagrangian of 6d conformal gravity is
obtained. The higher derivative Lagrangian involves quadratic and cubic
curvature terms. This higher-derivative Lagrangian coincides with the simplest
Weyl invariant density discussed in the earlier literature. Generalization of
de Donder gauge conditions to 6d conformal fields is also obtained.

12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th