BKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic $N$-Point Functions
Exactly Solvable and Integrable Systems
2022-07-06 v4 Mathematical Physics
math.MP
Abstract
We derive a formula for the connected -point functions of a tau-function of the BKP hierarchy in terms of its affine coordinates. This is a BKP-analogue of a formula for KP tau-functions proved by Zhou in [arXiv:1507.01679]. Moreover, we prove a simple relation between the KP-affine coordinates of a tau-function of the KdV hierarchy and the BKP-affine coordinates of . As applications, we present a new algorithm to compute the free energies of the Witten-Kontsevich tau-function and the Br\'ezin-Gross-Witten tau-function.
Keywords
Cite
@article{arxiv.2201.08178,
title = {BKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic $N$-Point Functions},
author = {Zhiyuan Wang and Chenglang Yang},
journal= {arXiv preprint arXiv:2201.08178},
year = {2022}
}