Topological expansion and boundary conditions
Abstract
In this article, we compute the topological expansion of all possible mixedtraces in a hermitian two matrix model. In other words 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2008
 DOI:
 10.1088/11266708/2008/06/037
 arXiv:
 arXiv:0710.0223
 Bibcode:
 2008JHEP...06..037E
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 latex, 25 pages. few misprints corrected