Non-homogenous disks in the chain of matrices
Mathematical Physics
2015-06-03 v1 High Energy Physics - Theory
Combinatorics
math.MP
Abstract
We investigate the generating functions of multi-colored discrete disks with non-homogenous boundary conditions in the context of the Hermitian multi-matrix model where the matrices are coupled in an open chain. We show that the study of the spectral curve of the matrix model allows one to solve a set of loop equations to get a recursive formula computing mixed trace correlation functions to leading order in the large matrix limit.
Keywords
Cite
@article{arxiv.1111.3777,
title = {Non-homogenous disks in the chain of matrices},
author = {Nicolas Orantin and Alvaro Veliz-Osorio},
journal= {arXiv preprint arXiv:1111.3777},
year = {2015}
}
Comments
25 pages, 4 figures