Genus Zero Correlation Functions in c<1 String Theory

TL;DR

This paper calculates correlation functions in minimal models coupled to gravity, confirming results with matrix models and extending understanding of c<1 string theory.

Contribution

It provides explicit computations of N-point functions in minimal models coupled to gravity, matching matrix model predictions and exploring analytic continuations.

Findings

Agreement with matrix model results on analytic continuation

Explicit correlation functions for specific models

Validation of theoretical predictions in c<1 string theory

Abstract

We compute N-point correlation functions of pure vertex operator states(DK states) for minimal models coupled to gravity. We obtain agreement with the matrix model results on analytically continuing in the numbers of cosmological constant operators and matter screening operators. We illustrate this for the cases of the $(2k-1,2)$ and $(p+1,p)$ models.