On Correlation Functions for Non-critical Strings with c<1 but d>1

TL;DR

This paper develops a new method for calculating correlation functions in non-critical string theories with central charge less than one and applies it to specific three- and four-point functions, revealing new analytical structures.

Contribution

It introduces a Goulian-Li-type continuation method for non-critical strings with c<1 and d>1, extending previous approaches beyond one-dimensional target spaces.

Findings

Calculated three-point and special four-point correlation functions.

Discussed the analytical structure of these correlation functions.

Extended the applicability of correlation function techniques to higher-dimensional target spaces.

Abstract

We construct a Goulian-Li-type continuation in the number of insertions of the cosmological constant operator which is no longer restricted to one dimensional target space. The method is applied to the calculation of the three-point and a special four-point correlation function. Various aspects of the emerging analytical structure are discussed.