Matrix Models for Random Partitions

Details Matrix Models for Random Partitions Matrix Models for Random Partitions

2010-05-31

arxiv.org/abs/1005.5715v3

Nucl.Phys.B851:620-650,2011

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, presentation improved, references corrected

Scientific paper

10.1016/j.nuclphysb.2011.06.007

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.

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