Scattering of Long Folded Strings and Mixed Correlators in the Two-Matrix Model

TL;DR

This paper investigates the interactions of long folded strings in two-dimensional string theory, calculating scattering amplitudes using both worldsheet theory and the dual matrix model, revealing the structure of mixed correlators.

Contribution

It provides a dual analysis of long string interactions in 2D string theory through worldsheet and matrix model approaches, including the evaluation of mixed trace correlators.

Findings

Calculated scattering amplitudes for long folded strings.

Established the correspondence between worldsheet and matrix model descriptions.

Evaluated mixed trace correlators for multiple long strings.

Abstract

We study the interactions of Maldacena's long folded strings in two-dimensional string theory. We find the amplitude for a state containing two long folded strings to come and go back to infinity. We calculate this amplitude both in the worldsheet theory and in the dual matrix model, the Matrix Quantum Mechanics. The matrix model description allows to evaluate the amplitudes involving any number of long strings, which are given by the mixed trace correlators in an effective two-matrix model.