Three-Point Functions of Non-Unitary Minimal Matter Coupled to Gravity

TL;DR

This paper calculates three-point correlation functions in non-unitary minimal models coupled to gravity, confirming results with both continuum and matrix model approaches for specific series.

Contribution

It provides the first detailed continuum calculation of three-point functions for non-unitary minimal models coupled to gravity, extending known results beyond the unitary case.

Findings

Results agree with unitary series for q=p+1

Results match one-matrix model for p=2, q=2k-1

Confirms consistency between continuum and matrix model approaches

Abstract

The tree-level three-point correlation functions of local operators in the general $(p,q)$ minimal models coupled to gravity are calculated in the continuum approach. On one hand, the result agrees with the unitary series ($q=p+1$); and on the other hand, for $p=2, q=2k-1$, we find agreement with the one-matrix model results.