Supersymmetric Toda lattice hierarchies

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dc.creatorKadyshevsky, V. G.
dc.creatorSorin, A. S.
dc.date2000-11-04
dc.date.accessioned2026-07-07T05:33:08Z
dc.date.available2026-07-07T05:33:08Z
dc.descriptionThe origin of the bosonic and fermionic solutions, constructed in [1,2,3], to the symmetry equations corresponding to the two-dimensional bosonic and N=(2|2) supersymmetric Toda lattices is established, and algebras of the corresponding symmetries are derived. The conjecture regarding an N=(2|2) superfield formulation of the N=(2|2) supersymmetric Toda lattice hierarchy, proposed in [16], is proved. The two-dimensional N=(0|2) supersymmetric Toda lattice hierarchy is proposed and its N=(0|2) superfield formulation is discussed. Bosonic and fermionic solutions to the symmetry equation corresponding to the two-dimensional N=(0|2) supersymmetric Toda lattice equation and their algebra are constructed. An infinite class of new two-dimensional supersymmetric Toda-type hierarchies is discussed.
dc.description38 pages LaTeX, to be published in Proceedings of the NATO ARW ``Integrable Hierarchies and Modern Physical Theories'' (Chicago, USA, July 22 - 26, 2000), Kluwer Academic Publishers
dc.identifierhttps://arxiv.org/abs/nlin/0011009
dc.identifierhttp://arxiv.org/abs/nlin/0011009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79896
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleSupersymmetric Toda lattice hierarchies
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