Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Holonomy Theory and Hilbert Space Representations   We present a new formulation of quantum holonomy theory, which is a candidate
for a non-perturbative and background independent theory of quantum gravity
coupled to matter and gauge degrees of freedom. The new formulation is based on
a Hilbert space representation of the QHD(M) algebra, which is generated by
holonomy-diffeomorphisms on a 3-dimensional manifold and by canonical
translation operators on the underlying configuration space over which the
holonomy-diffeomorphisms form a non-commutative C*-algebra. A proof that the
state that generates the representation exist is left for later publications.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys