Torus Amplitudes in Minimal Liouville Gravity and Matrix Models

TL;DR

This paper computes one-point correlation numbers on the torus in minimal Liouville gravity coupled with specific conformal matter and confirms their agreement with matrix model results, advancing understanding of quantum gravity models.

Contribution

It provides explicit calculations of torus amplitudes in minimal Liouville gravity and verifies their consistency with matrix model predictions.

Findings

Agreement between Liouville theory and matrix model results

Explicit evaluation of one-point correlation numbers on the torus

Enhanced understanding of minimal Liouville gravity in quantum gravity

Abstract

We evaluate one-point correlation numbers on the torus in the Liouville theory coupled to the conformal matter M(2,2p+1). We find agreement with the recent results obtained in the matrix model approach.