Scattering States and Symmetries in the Matrix Model and Two Dimensional String Theory

TL;DR

This paper explores the relationship between a matrix model and 2D string theory, deriving scattering amplitudes and analyzing symmetries to deepen understanding of their correspondence.

Contribution

It provides a direct derivation of 2D string scattering amplitudes from matrix harmonic oscillator states and investigates the symmetry algebra linking the models.

Findings

Derived N-point tree amplitudes from matrix model

Identified symmetry algebra connecting the models

Established a closer link between matrix model and conformal string theory

Abstract

We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a direct way scattering amplitudes of 2-dimensional strings, exhibiting the nonlinear equation generating arbitrary N-point tree amplitudes. An even closer connection between the matrix model and the conformal string theory is seen in studies of the symmetry algebra of the system.