On the Connection between N=2 Minimal String and (1,n) Bosonic Minimal String

Abstract

We study the scattering amplitudes in the N=2 minimal string or equivalently in the N=4 topological string on ALE spaces. We find an interesting connection between the tree level amplitudes of the N=2 minimal string and those of the (1,n) minimal bosonic string. In particular we show that the four and five-point functions of the N=2 string can be directly rewritten in terms of those of the latter theory. This relation offers a map of physical states between these two string theories. Finally we propose a possible matrix model dual for the N=2 minimal string in the light of this connection.