Factorization in 2D String Theory

TL;DR

This paper demonstrates the factorization of tachyon correlation functions in 2D string theory using Moore's discretized approach, providing new rules and systematic computation methods that confirm the factorization property.

Contribution

It introduces a more general proof of correlation function factorization in 2D string theory and develops a systematic computational framework for tachyon amplitudes.

Findings

Confirmed tachyon amplitudes satisfy the factorization rule

Derived rules for tachyon amplitude factorization

Provided a systematic method for computing correlation functions

Abstract

We show the factorization of correlation functions of tachyon operators in 2D string theory using the discretized approach of Moore. Our demonstration of the factorization is more general than that of the paper of Sakai and Tanii. We obtain the rules for the factorization of tachyon amplitudes. Our results can be understood in terms of the operator product expansion of tachyon operators. We also give a systematic way of computing correlation functions of tachyon operators and succeed in summarizing the results of the computation in compact form for some simple cases. We confirm that these tachyon amplitudes indeed satisfy our factorization rule.