Long Strings and Chiral Non-Singlets in Matrix Quantum Mechanics

TL;DR

This paper analyzes non-singlet sectors in Matrix Quantum Mechanics using a chiral formalism, providing a method to compute scattering amplitudes and reproducing known results for long string interactions.

Contribution

It introduces a prescription for calculating tree-level non-singlet scattering amplitudes in Matrix Quantum Mechanics with a chiral approach.

Findings

Reproduces Maldacena's scattering amplitude for long strings.

Provides a general formula for adjoint representation scattering.

Connects non-singlet sectors to two-dimensional string theory.

Abstract

We study the non-singlet sectors of Matrix Quantum Mechanics in application to two-dimensional string theory. We use the chiral formalism, which operates directly with incoming and outgoing asymptotic states, related by a scattering operator. We give a prescription for evaluating the tree level non-singlet scattering amplitudes given the profile of the Fermi sea. In the case of a stationary Fermi sea our general formula for the adjoint representation reproduces Maldacena's scattering amplitude for a long string to go in and come back to infinity.