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

TL;DR

This paper explores the relationship between N=2 minimal string theory and (1,n) bosonic minimal string, revealing a direct correspondence in scattering amplitudes and proposing a potential matrix model dual.

Contribution

It establishes a direct link between the tree-level scattering amplitudes of N=2 minimal string and (1,n) bosonic minimal string, and suggests a matrix model dual for the N=2 string.

Findings

Four and five-point functions of N=2 string can be expressed in terms of (1,n) bosonic string amplitudes.

A map of physical states between the two string theories is identified.

A possible matrix model dual for the N=2 minimal string is proposed.

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.