BKP and CKP hierarchies via orbifold Saito theory
Exactly Solvable and Integrable Systems
2026-02-09 v1
Abstract
Semisimple Dubrovin-Frobenius manifolds can be used to construct integrable hierarchies, following the work of Dubrovin-Zhang and Buryak. Examples of such hierarchies include the Kac-Wakimoto hierarchies, the KP hierarchy, among others. In all these examples, the Saito theory of isolated singularities played a crucial role. In this note, we show that the BKP and CKP hierarchies can likewise be constructed from Dubrovin-Frobenius manifolds. This new construction, however, utilizes the orbifold version of Saito theory for isolated singularities endowed with a symmetry group.
Keywords
Cite
@article{arxiv.2602.06736,
title = {BKP and CKP hierarchies via orbifold Saito theory},
author = {Alexey Basalaev},
journal= {arXiv preprint arXiv:2602.06736},
year = {2026}
}