Fully packed O (n = 1) model on random Eulerian triangulations

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. © 1999 Elsevier Science B.V. All rights reserved.