Generalized fermionic discrete Toda hierarchy

V. V. Gribanov, V. G. Kadyshevsky and A. S. Sorin

Discrete Dynamics in Nature and Society, 2004, vol. 2004, 1-41

Abstract:

We describe bi-Hamiltonian structure and Lax-pair formulation with the spectral parameter of the generalized fermionic Toda lattice hierarchy as well as its bosonic and fermionic symmetries for different (including periodic) boundary conditions. Its two reductions— N = 4 and N = 2 supersymmetric Toda lattice hierarchies—in different (including canonical) bases are investigated. Its r -matrix description, monodromy matrix, and spectral curves are discussed.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:543094

DOI: 10.1155/S1026022604311027

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