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Supersymmetric Toda lattice hierarchies | V.G. Kadyshevsky
; A.S. Sorin
; | Date: |
4 Nov 2000 | Subject: | Exactly Solvable and Integrable Systems; Mathematical Physics | nlin.SI hep-th math-ph math.MP | Abstract: | The 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. | Source: | arXiv, nlin.SI/0011009 | Other source: | [GID 133589] nlin.SI/0011009 | Services: | Forum | Review | PDF | Favorites |
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