Duality and integrability of supermatrix model with external source
Mathematical Physics
2014-12-16 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
We study the Hermitian supermatrix model involving an external source. We derive the determinantal formula for the supermatrix partition function, and also for the expectation value of the characteristic polynomial ratio, which yields the duality between the characteristic polynomial and the external source with an arbitrary matrix potential function. We also show that the supermatrix integral satisfies the one and two dimensional Toda lattice equations as well as the ordinary matrix model.
Cite
@article{arxiv.1410.0680,
title = {Duality and integrability of supermatrix model with external source},
author = {Taro Kimura},
journal= {arXiv preprint arXiv:1410.0680},
year = {2014}
}
Comments
1+15 pages, 1 figure; typos corrected