PP-wave String Interactions from String Bit Model

TL;DR

This paper constructs specific string states within a quantum mechanical orbifold model to compute three-point functions and Hamiltonian matrix elements, demonstrating their agreement with perturbative SYM theory results in the BMN limit.

Contribution

It introduces a method to derive string interactions from a string bit model that matches SYM theory calculations up to second order in the coupling.

Findings

Three-point functions match between string bit model and SYM theory.

Hamiltonian matrix elements agree with perturbative SYM calculations.

The approach validates the string bit model as a tool for understanding string interactions.

Abstract

We construct the string states $|O_{p}^J>_J$, $|O_{q}^{J_1}>_{{J_1}{J_2}}$ and $|O_{0}^{J_{1}J_{2}}>_{{J_1}{J_2}}$ in the Hilbert space of the quantum mechanical orbifold model so as to calculate the three point functions and the matrix elements of the light-cone Hamiltonian from the interacting string bit model. With these string states we show that the three point functions and the matrix elements of the Hamiltonian derived from the interacting string bit model up to $g^{2}_2$ order precisely match with those computed from the perturbative SYM theory in BMN limit.