  We extend the recently introduced fuzzy sphere technique for the 3d Ising CFT
to the case of boundary CFT (BCFT) using the fuzzy hemisphere. This allows to
study conformal boundary conditions, and we investigate the three boundary
universality classes of the 3d Ising CFT. These include the ordinary,
extraordinary, and special boundary conditions. We identify the qualitative
signatures of boundary conformal invariance, and in the cases of ordinary and
extraordinary boundary conditions, obtain numerical estimates for the spectrum
of low-lying boundary primaries. For the special boundary conditions, we are
only able to see their qualitative features, while reliable estimates of the
scaling dimensions of boundary primaries are left for the future work.
