Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear bosonic and fermionic quantum gauge theories on curved spacetimes   We develop a general setting for the quantization of linear bosonic and
fermionic field theories subject to local gauge invariance and show how
standard examples such as linearized Yang-Mills theory and linearized general
relativity fit into this framework. Our construction always leads to a
well-defined and gauge-invariant quantum field algebra, the centre and
representations of this algebra, however, have to be analysed on a case-by-case
basis. We discuss an example of a fermionic gauge field theory where the
necessary conditions for the existence of Hilbert space representations are not
met on any spacetime. On the other hand, we prove that these conditions are met
for the Rarita-Schwinger gauge field in linearized pure N=1 supergravity on
certain spacetimes, including asymptotically flat spacetimes and classes of
spacetimes with compact Cauchy surfaces. We also present an explicit example of
a supergravity background on which the Rarita-Schwinger gauge field can not be
consistently quantized.

8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga