  We consider matrix models exhibiting open-closed string duality in
two-dimensional string theories with various amounts of supersymmetry. In
particular, a relationship between matrix models in the $\beta = 2$
Wigner-Dyson class and models in the $(1 + 2\Gamma, 2)$ Altland-Zirnbauer class
relates the perturbative solutions of the two systems' string equations.
Point-like operator insertions in the closed string theory are mapped to the
topological expansion of the free energy in the open string theory. We compute
correlation functions of macroscopic loop operators and FZZT branes in a
general topological gravity background. The relationship between the
topological recursion of moduli space volumes and branes is discussed by
analyzing the Virasoro conditions in the matrix models.
