Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On unitarity of a Yang-Mills type formulation for massless and massive
  gravity with propagating torsion   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. Finally we confirm the existence
of a family of unitary Yang-Mills-extended theories which are classically
consistent with Einstein's solutions coming from non massive and topologically
massive gravity.

2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph