Matrix Models for Random Partitions
High Energy Physics - Theory
2011-07-19 v3 Mathematical Physics
math.MP
Abstract
We derive exact matrix integral representations for different sums over partitions. The characteristic feature of all obtained matrix models is the presence of logarithmic (or, vice versa, exponential) terms in the potential. Our derivation is based on the application of the higher Casimir operators. The Toda lattice integrability of the basic sums over partitions can be easily derived from the matrix model representation.
Cite
@article{arxiv.1005.5715,
title = {Matrix Models for Random Partitions},
author = {A. Alexandrov},
journal= {arXiv preprint arXiv:1005.5715},
year = {2011}
}
Comments
26 pages, presentation improved, references corrected