  Bootstrapping mixed correlators in three dimensional conformal field theories
with a $\mathbb Z_2$ global symmetry has previously led to a closed allowed
region in ($\Delta_\sigma$, $\Delta_\epsilon$) space surrounding the 3D Ising
model. We repeat that analysis in two dimensions. By further assuming a gap in
the spin-2 sector, we also find a closed allowed region in ($\Delta_\sigma$,
$\Delta_\epsilon$) space surrounding the 2D Ising model.
