On Correlation Numbers in 2D Minimal Gravity and Matrix Models

Details On Correlation Numbers in 2D Minimal Gravity and Matrix Models On Correlation Numbers in 2D Minimal Gravity and Matrix Models

2008-11-04

arxiv.org/abs/0811.0450v1

J.Phys.A42:304004,2009

Physics

High Energy Physics

High Energy Physics - Theory

Talk presented at "Liouville Gravity and Statistical Models", International conference in memory of Alexei Zamolodchikov, Mosc

Scientific paper

10.1088/1751-8113/42/30/304004

We test recent results for the four-point correlation numbers in Minimal Liouville Gravity against calculations in the one-Matrix Models, and find full agreement. In the process, we construct the resonance transformation which relates coupling parameters of the Liouville Gravity with the couplings of the Matrix Models, up to the terms of the order 4. We also conjecture the general form of this transformation.

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