Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Four-dimensional Lattice Gauge Theory with ribbon categories and the
  Crane-Yetter state sum   Lattice Gauge Theory in 4-dimensional Euclidean space-time is generalized to
ribbon categories which replace the category of representations of the gauge
group. This provides a framework in which the gauge group becomes a quantum
group while space-time is still given by the `classical' lattice. At the
technical level, this construction generalizes the Spin Foam Model dual to
Lattice Gauge Theory and defines the partition function for a given
triangulation of a closed and oriented piecewise-linear 4-manifold. This
definition encompasses both the standard formulation of d=4 pure Yang-Mills
theory on a lattice and the Crane-Yetter invariant of 4-manifolds. The
construction also implies that a certain class of Spin Foam Models formulated
using ribbon categories are well-defined even if they do not correspond to a
Topological Quantum Field Theory.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph