BKP tau-functions as square roots of KP tau-functions
Mathematical Physics
2021-12-22 v1 math.MP
Abstract
It is well-known that a BKP tau-function is the square root of a certain KP tau-function, provided one puts the even KP times equal to zero. In this paper we compute for all polynomial BKP tau-function its corresponding KP "square". We also give, in the polynomial case, a representation theoretical proof of a recent result by Alexandov, viz. that a KdV tau-function becomes a BKP tau-function when one divides all KdV times by 2.
Keywords
Cite
@article{arxiv.2103.16290,
title = {BKP tau-functions as square roots of KP tau-functions},
author = {Johan van de Leur},
journal= {arXiv preprint arXiv:2103.16290},
year = {2021}
}