Super tau-covers of bihamiltonian integrable hierarchies
Differential Geometry
2021-09-15 v2 Mathematical Physics
math.MP
Abstract
We consider a certain super extension, called the super tau-cover, of a bihamiltonian integrable hierarchy which contains the Hamiltonian structures including both the local and non-local ones as odd flows. In particular, we construct the super tau-cover of the principal hierarchy associated with an arbitrary Frobenius manifold, and the super tau-cover of the Korteweg-de Vries (KdV) hierarchy. We also show that the Virasoro symmetries of these bihamiltonan integrable hierarchies can be extended to symmetries of the associated super tau-covers.
Keywords
Cite
@article{arxiv.2009.01143,
title = {Super tau-covers of bihamiltonian integrable hierarchies},
author = {Si-Qi Liu and Zhe Wang and Youjin Zhang},
journal= {arXiv preprint arXiv:2009.01143},
year = {2021}
}