  The dimensional reductions in the branched polymer and the random field Ising
model (RFIM) are discussed by a conformal bootstrap method. The small size
minors are applied for the evaluations of the scale dimensions of these two
models and the results are compared to D'=D-2 dimensional Yang-Lee edge
singularity and to pure D'=D-2 dimensional Ising model, respectively. For the
former case, the dimensional reduction is shown to be valid for $3 \le D \le
8$, and for the latter case, the deviation from the dimensional reduction can
be seen below five dimensions.
