摘 要: |
In this talk, we construct the additional symmetries of the fermionic -Toda hierarchy basing on the generalization of the $N{=}(1|1)$ supersymmetric two dimensional Toda lattice hierarchy. These additional flows constitute a $w_{\infty}\times w_{\infty}$ Lie algebra. As a Bosonic reduction of the $N{=}(1|1)$ supersymmetric two dimensional Toda lattice hierarchy and the fermionic -Toda hierarchy, we define a new extended fermionic -Toda hierarchy which admits a Bosonic Block type superconformal structure. |