Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability in anyonic quantum spin chains via a composite height
  model   Recently, properties of collective states of interacting non-abelian anyons
have attracted a considerable attention. We study an extension of the `golden
chain model', where two- and three-body interactions are competing. Upon
fine-tuning the interaction, the model is integrable. This provides an
additional integrable point of the model, on top of the integrable point, when
the three-body interaction is absent. To solve the model, we construct a new,
integrable height model, in the spirit of the restricted solid-on-solid model
solved by Andrews, Baxter and Forrester. The heights in our model live on both
the sites and links of the square lattice. The model is solved by means of the
corner transfer matrix method. We find a connection between local height
probabilities and characters of a conformal field theory governing the critical
properties at the integrable point. In the antiferromagnetic regime, the
criticality is described by the Z_k parafermion conformal field theory, while
the su(2)_1 x su(2)_1 x su(2)_(k-2) / su(2)_k coset conformal field theory
describes the ferromagnetic regime.

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The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin