Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Variables for Classical and Quantum Gravity in all Dimensions IV.
  Matter Coupling   We employ the techniques introduced in the companion papers to derive a
connection formulation of Lorentzian General Relativity coupled to Dirac
fermions in dimensions D+1 > 2 with compact gauge group. The technique that
accomplishes that is similar to the one that has been introduced in 3+1
dimensions already: First one performs a canonical analysis of Lorentzian
General Relativity using the time gauge and then introduces an extension of the
phase space analogous to the one employed in the first paper of this series to
obtain a connection theory with SO(D+1) as the internal gauge group subject to
additional constraints. The success of this method rests heavily on the strong
similarity of the Lorentzian and Euclidean Clifford algebras. A quantisation of
the Hamiltonian constraint is provided.

10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg