  In the previous papers, it is pointed out that a supersymmetric double-well
matrix model corresponds to a two-dimensional type IIA superstring theory on a
Ramond-Ramond background at the level of correlation functions. This was
confirmed by agreement between their planar correlation functions. The
supersymmetry in the matrix model corresponds to the target space supersymmetry
and it is shown to be spontaneously broken by nonperturbative effect.
Furthermore, in the matrix model we computed one-point functions of
single-trace operators to all order of genus expansion in its double scaling
limit. We found that this expansion is stringy and not Borel summable and hence
there arises an ambiguity in applying the Borel resummation technique. We
confirmed that resurgence works here, namely this ambiguity in perturbative
series in a zero-instanton sector is exactly canceled by another ambiguity in a
one-instanton sector obtained by instanton calculation. In this paper we extend
this analysis and study resurgence structure of the two-point functions of the
single trace operators. By using results in the random matrix theory, we derive
two-point functions at arbitrary genus and see that the perturbative series in
the zero-instanton sector again has an ambiguity. We find that the two-point
functions inevitably have logarithmic singularity even at higher genus. In this
derivation we obtain a new result of the two-point function expressed by the
one-point function at the leading order in the soft-edge scaling limit of the
random matrix theory. We also compute an ambiguity in the one-instanton sector
by using the Airy kernel, and confirm that ambiguities in both sectors cancel
each other at the leading order in the double scaling limit. We thus clarify
resurgence structure of the two-point functions in the supersymmetric
double-well matrix model.
