Peeling and Multi-critical Matter Coupled to Quantum Gravity

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 $\eta =2+2\mathrm{/}(2K-3)$ and $\nu =1-3\mathrm{/}2K$ agree with the slicing decomposition, and satisfy Fisher scaling.