Enumeration of maps with self avoiding loops and the O(n) model on random lattices of all topologies
Borot G. (
CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Eynard B. (
CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Abstract:
We compute the generating functions of a O(n) model (loop gas model) on a
random lattice of any topology. On the disc and the cylinder, they were already
known, and here we compute all the other topologies. We find that the
generating functions (and the correlation functions of the lattice) obey the
topological recursion, as usual in matrix models, i.e they are given by the
symplectic invariants of their spectral curve.
Année de publication : 2011
Revue : J. Stat. Mech.
2011 P01010 (2011)
Preprint :
arXiv:0910.5896 Keywords : Matrix models, Topological recursion, O(n) model, Self Avoiding Loops, Enumeration of maps.
Langue : Anglais
Fichier(s) à télécharger : publi.pdf