Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A monoidal representation for linearized gravity   We propose an alternative representation for linear quantum gravity. It is
based on the use of a structure that bears some resemblance to the Abelian loop
representation used in electromagnetism but with the difference that space of
extended object on which waves functions take values have a structure of
commutative monoid instead of Abelian group. The generator of duality of the
theory is realized in this representation and a geometrical interpretation is
discussed.

31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
18
The categories of this paper are: econ
19
The categories of this paper are: eess