Fully Packed $O(n=1)$ Model on Random Eulerian Triangulations
Di Francesco P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE) Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE) Kristjansen C. (The Niels Bohr Institute Blegdamsvej 17, DK-2100 Copenhagen, DENMARK)
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 $c\to c+1$ when going from
ordinary random triangulations to Eulerian ones. The case of arbitrary $n$ is
also discussed.