Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Defects in the 3-dimensional toric code model form a braided fusion
  2-category   It was well known that there are $e$-particles and $m$-strings in the
3-dimensional (spatial dimension) toric code model, which realizes the
3-dimensional $\mathbb{Z}_2$ topological order. Recent mathematical result,
however, shows that there are additional string-like topological defects in the
3-dimensional $\mathbb{Z}_2$ topological order. In this work, we construct all
topological defects of codimension 2 and higher, and show that they form a
braided fusion 2-category satisfying a braiding non-degeneracy condition.

30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-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
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics