Super Tau-Covers of Bihamiltonian Integrable Hierarchies
Time: 2020-12-03
Published By: He Liu
Speaker(s): Youjin Zhang (Tsinghua University)
Time: 10:00-11:00 December 4, 2020
Venue: Room 29, Quan Zhai, BICMR
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 hierarchy. We also show that the Virasoro symmetries of these bihamiltonan integrable hierarchies can be extended to symmetries of the associated super tau-covers.
