Peeling and Multi-critical Matter Coupled to Quantum Gravity

TL;DR

This paper develops a method to analyze multi-critical matter coupled to 2D quantum gravity, deriving functions and correlation functions that align with existing decomposition methods and scaling laws.

Contribution

It introduces a peeling decomposition approach for multi-critical matter in quantum gravity and computes correlation functions consistent with known scaling behaviors.

Findings

Derived functions for peeling decomposition in multi-critical matter

Computed loop-loop correlation functions

Results agree with slicing decomposition and Fisher scaling

Abstract

We show how to determine the unknown functions arising when the peeling decomposition is applied to multi-critical matter coupled to two-dimensional quantum gravity and compute the loop-loop correlation functions. The results that $\eta=2+2/(2K-3)$ and $\nu=1-3/2K$ agree with the slicing decomposition, and satisfy Fisher scaling.