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 bihamiltonian integrable hierarchies can be extended to symmetries of the associated super tau-covers.

中文翻译：

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比哈密尔顿可积层次结构的超级 tau 覆盖

我们考虑一个称为超 tau-cover 的超扩展，它包含哈密顿结构，包括作为奇流的局部和非局部结构。特别是，我们构造了与任意 Frobenius 流形相关的主层次结构的超 tau-cover，以及 Korteweg-de Vries (KdV) 层次结构的超 tau-cover。我们还表明，这些 bihamiltonian 可积层次结构的 Virasoro 对称性可以扩展到相关超 tau 覆盖的对称性。