Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $BF$ gravity   $BF$ gravity comprises all the formulations of gravity that are based on
deformations of $BF$ theory. Such deformations consist of either constraints or
potential terms added to the topological $BF$ action that turn some of the
gauge degrees of freedom into physical ones, particularly giving rise to
general relativity. The $BF$ formulations have provided new and deep insights
into many classical and quantum aspects of the gravitational field, setting the
foundations for the approach to quantum gravity known as spinfoam models. In
this review, we present a self-contained and unified treatment of the $BF$
formulations of $D$-dimensional general relativity and other related models,
focusing on the classical aspects of them and including some new results.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an