Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorial Unitary Representations of the Translational Group and the
  Supersymmetric Graviton   Unitary Representations corresponding to local shifts in reference frames are
a key topic for progress in Quantum Gravity. The fibre bundle construct defined
in our previous work in which quantum fields become liftings of; or sections
through; a fibre bundle with base space curved space-time, continues to be the
context for this paper. We investigate in more depth the subgroup T of the
Poincare group consisting of translations of space-time as a gauge group of
automorphisms. We define to be a representation of T as such automorphisms of
the local fibre algebra A(x) which we assume to be isomorphic to a von Neumann
algebra with trivial centre acting on a separable Hilbert space. Provided this
group representation is weakly measurable, then we have previously proved that
it is also norm continuous, and is implemented by a norm, hence weakly and
strongly, continuous unitary representation. We discuss the dependence of this
key result on the strange properties of Stonean spaces and extend our
exploitation of Mackey Theory to give a more straightforward group theoretic
proof. From such unitary representations a minimal form of Supersymmetry
naturally emerges, which predicts the existence of both the mass zero graviton,
and its gravitino partner.

23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat