| Summary: | We perform Monte-Carlo computations of four-point cluster connectivities in
the critical 2d Potts model, for numbers of states $Q\in (0,4)$ that are not
necessarily integer. We compare these connectivities to four-point functions in
a CFT that interpolates between D-series minimal models. We find that 3
combinations of the 4 independent connectivities agree with CFT four-point
functions, down to the $2$ to $4$ significant digits of our Monte-Carlo
computations. However, we argue that the agreement is exact only in the special
cases $Q=0, 3, 4$. We conjecture that the Potts model can be analytically
continued to a double cover of the half-plane $\{\Re c <13\}$, where $c$ is the
central charge of the Virasoro symmetry algebra.
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