Bosonic symmetries of the~extended fermionic $(2N,2M)$-Toda~hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 257-271
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We construct the additional symmetries of the fermionic $(2N,2M)$-Toda hierarchy based on a 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 $(2N,2M)$-Toda hierarchy, we define a new extended fermionic $(2N,2M)$-Toda hierarchy that admits a bosonic Block-type superconformal structure.
Keywords:
$N=(1|1)$ supersymmetric Toda hierarchy, extended fermionic $(2N,2M)$-Toda hierarchy, additional symmetry, Block algebra.
@article{TMF_2019_199_2_a5,
author = {Chuanzhong Li},
title = {Bosonic symmetries of the~extended fermionic $(2N,2M)${-Toda~hierarchy}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {257--271},
publisher = {mathdoc},
volume = {199},
number = {2},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a5/}
}
Chuanzhong Li. Bosonic symmetries of the~extended fermionic $(2N,2M)$-Toda~hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 257-271. http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a5/