Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A chain of strongly correlated SU(2)_4 anyons: Hamiltonian and Hilbert
  space of states   One-dimensional lattice model of SU(2)_{4} anyons containing a transition
into the topological ordered phase state is considered. An effective low-energy
Hamiltonian is found for half-integer and integer indices of the type of
strongly correlated non-Abelian anyons. The Hilbert state space properties in
the considered modular tensor category are studied.

16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
2
The categories of this paper are: math
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin