Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial quantisation of the Euclidean torus universe   We quantise the Euclidean torus universe via a combinatorial quantisation
formalism based on its formulation as a Chern-Simons gauge theory and on the
representation theory of the Drinfel'd double DSU(2). The resulting quantum
algebra of observables is given by two commuting copies of the Heisenberg
algebra, and the associated Hilbert space can be identified with the space of
square integrable functions on the torus. We show that this Hilbert space
carries a unitary representation of the modular group and discuss the role of
modular invariance in the theory. We derive the classical limit of the theory
and relate the quantum observables to the geometry of the torus universe.

32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin