Topological expansion and boundary conditions
High Energy Physics - Theory
2009-11-13 v2 Mathematical Physics
math.MP
Abstract
In this article, we compute the topological expansion of all possible mixed-traces in a hermitian two matrix model. In other words we give a recipe to compute the number of discrete surfaces of given genus, carrying an Ising model, and with all possible given boundary conditions. The method is recursive, and amounts to recursively cutting surfaces along interfaces. The result is best represented in a diagrammatic way, and is thus rather simple to use.
Keywords
Cite
@article{arxiv.0710.0223,
title = {Topological expansion and boundary conditions},
author = {Bertrand Eynard and Nicolas Orantin},
journal= {arXiv preprint arXiv:0710.0223},
year = {2009}
}
Comments
latex, 25 pages. few misprints corrected