Correlation Functions of (2k-1, 2) Minimal Matter Coupled to 2D Quantum Gravity

TL;DR

This paper calculates correlation functions for a specific non-unitary minimal matter model coupled with 2D quantum gravity, confirming results with matrix model predictions and advancing understanding of quantum gravity in two dimensions.

Contribution

It provides explicit continuum calculations of correlation functions for (2k-1, 2) minimal models coupled to 2D gravity, matching matrix model results.

Findings

Correlation functions agree with one-matrix model at critical points

Uses gravitational dressing of matter primary fields

Validates continuum Liouville approach for non-unitary models

Abstract

We compute N-point correlation functions of non-unitary (2k-1, 2) minimal matter coupled to 2D quantum gravity on a sphere using the continuum Liouville field approach. A gravitational dressing of the matter primary field with the minimum conformal weight is used as the cosmological operator. Our results are in agreement with the correlation functions of the one-matrix model at the k-th critical point.