Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability of Coupled Conformal Field Theories   The massive phase of two-layer integrable systems is studied by means of RSOS
restrictions of affine Toda theories. A general classification of all possible
integrable perturbations of coupled minimal models is pursued by an analysis of
the (extended) Dynkin diagrams. The models considered in most detail are
coupled minimal models which interpolate between magnetically coupled Ising
models and Heisenberg spin-ladders along the $c<1$ discrete series.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
2
The categories of this paper are: math
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat