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Fully Packed O(n=1) Model on Random Eulerian Triangulations

P. Di Francesco, E. Guitter, C. Kristjansen

cond-mat.stat-mecharXiv:cond-mat/9902082

Abstract

We introduce a matrix model describing the fully-packed O(n) model on random Eulerian triangulations (i.e. triangulations with all vertices of even valency). For n=1 the model is mapped onto a particular gravitational 6-vertex model with central charge c=1, hence displaying the expected shift c -> c+1 when going from ordinary random triangulations to Eulerian ones. The case of arbitrary n is also discussed.

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