Multiloop correlators for two-dimensional quantum gravity

Abstract

We find explicitly all multi-loop correlators in the complex matrix model to the leading order in 1/N and show that they are identical to the even part of the multi-loop correlators in the hermitean matrix model. The scaling limit for the corresponding macroscopic loop correlators is constructed and agrees with the one of the hermitean model to all orders in 1/N 2. In particular the double scaling limits of the two models will lead to identical "string equations"

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