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Runkel-Watts theory is a 2d CFT with central charge $c = 1$. It can be constructed from the $A$-series of minimal models, which are parametrized by integers $p$ and which have central charge
$$ c = 1 - 6 \frac{1}{p(p+1)} \, . $$
The Runkel-Watts theory is defined as the limiting theory that arises from taking $p \to \infty$.
These theories were originally discussed in this paper.