  The holographic principle in the pp-wave limit proposed in our previous works
is further confirmed by studying impurity non-preserving processes which
contain a fermionic BMN operator with one scalar and one fermion impurities. We
show that the previously proposed duality relation between the matrix elements
of the three point interaction Hamiltonian in the holographic string field
theory and the OPE coefficients in super Yang-Mills theory holds to the leading
order in the large $\mu$ limit. Operator mixing is required to obtain the BMN
operator of definite conformal dimension which corresponds to the string state
with one scalar and one fermion excitations. The mixing term plays a crucial
role for our duality relation to be valid. Our results, combined with those in
the previous papers, provide a positive support that our duality relation holds
for the general process regardless of the kind of impurities and of whether
impurities conserve or not.
