  Matrix models are proposed as nonperturbative formulations of superstring
theory. We study a concrete correspondence of the analytical result between the
matrix model and the field theory. In this paper, we focus on a fuzzy sphere
and a complex projective space. We show a wave functions/states correspondence
of the zero modes of the Dirac operators under the 't Hooft-Polyakov monopole
background on the continuous/fuzzy sphere. In addition, we propose a Laplacian
for a scalar sector of the matrix model and obtain a concrete construction of
it.
