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29 March 2024
 
  » arxiv » nlin.SI/0011009

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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
AbstractThe 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
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