Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Completeness of boundary conditions for the critical three-state Potts
  model   We show that the conformally invariant boundary conditions for the
three-state Potts model are exhausted by the eight known solutions. Their
structure is seen to be similar to the one in a free field theory that leads to
the existence of D-branes in string theory. Specifically, the fixed and mixed
boundary conditions correspond to Neumann conditions, while the free boundary
condition and the new one recently found by Affleck et al [1] have a natural
interpretation as Dirichlet conditions for a higher-spin current. The latter
two conditions are governed by the Lee\hy Yang fusion rules. These results can
be generalized to an infinite series of non-diagonal minimal models, and
beyond.

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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
3
The categories of this paper are: physics
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
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The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas