Generating series for GUE correlators
Mathematical Physics
2017-08-02 v1 math.MP
Abstract
We extend to the Toda lattice hierarchy the approach of [3, 4] to computation of logarithmic derivatives of tau-functions in terms of the so-called matrix resolvents of the corresponding differ- ence Lax operator. As a particular application we obtain explicit generating series for connected GUE correlators. On this basis an efficient recursive procedure for computing the correlators in full genera is developed.
Cite
@article{arxiv.1604.07628,
title = {Generating series for GUE correlators},
author = {Boris Dubrovin and Di Yang},
journal= {arXiv preprint arXiv:1604.07628},
year = {2017}
}
Comments
31 pages