Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discretely holomorphic parafermions and integrable boundary conditions   In two-dimensional statistical models possessing a discretely holomorphic
parafermion, we introduce a modified discrete Cauchy-Riemann equation on the
boundary of the domain, and we show that the solution of this equation yields
integrable boundary Boltzmann weights. This approach is applied to (i) the
square-lattice O(n) loop model, where the exact locations of the special and
ordinary transitions are recovered, and (ii) the Fateev-Zamolodchikov $Z_N$
spin model, where a new rotation-invariant, integrable boundary condition is
discovered for generic $N$.

35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex