Quantization of Harer-Zagier formulas
High Energy Physics - Theory
2021-02-08 v2 Mathematical Physics
math.MP
Abstract
We derive the analogues of the Harer-Zagier formulas for single- and double-trace correlators in the q-deformed Hermitian Gaussian matrix model. This fully describes single-trace correlators and opens a road to -deformations of important matrix models properties, such as genus expansion and Wick theorem.
Cite
@article{arxiv.2008.09577,
title = {Quantization of Harer-Zagier formulas},
author = {Alexei Morozov and Aleksandr Popolitov and Shamil Shakirov},
journal= {arXiv preprint arXiv:2008.09577},
year = {2021}
}