Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical Gravity with Fermions   Canonical gravity in real Ashtekar-Barbero variables is generalized to allow
for fermionic matter. The resulting torsion changes several expressions in
Holst's original vacuum analysis, which are summarized here. This in turn
requires adaptations to the known loop quantization of gravity coupled to
fermions, which is discussed on the basis of the classical analysis. As a
result, parity invariance is not manifestly realized in loop quantum gravity.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th