Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-consistency of a pure Yang-Mills type formulation for gravity
  revisited   A perturbative regime based on contorsion as a dynamical variable and metric
as a (classical) fixed background, is performed in the context of a pure
Yang-Mills formulation based on $GL(3,R)$ gauge group. In the massless case we
show that the theory propagates three degrees of freedom and only one is a
non-unitary mode. Next, we introduce quadratical terms dependent on torsion,
which preserve parity and general covariance. The linearized version reproduces
an analogue Hilbert-Einstein-Fierz-Pauli unitary massive theory plus three
massless modes, two of them non-unitary ones.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat