XXIX Workshop on Geometric Methods in Physics 27.06-03.07.2010

Alexander Belavin

Correlation numbers in 2-Dimensional Minimal Gravity. Matrix Model and Liouville approaches.

Since the middle of 80's there exist two independent approaches
to 2D Quantum Gravity,the continuous approach called Liuoville Gravity
and the discrete one usually refered to as the Matrix Models.
The comparison of the Correlation numbers in these 2 approaches depends on the choice of the so-called contact terms.
We check that for (2,2p+1) Minimal 2D Quantum Gravity
there exists the special choice of the contact
terms(Conformal frame) ensuring the agreement between 2 different approaches .

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