The solution of the N=(0|2) superconformal f-Toda lattice

Abstract

The general solution of the two-dimensional integrable generalization of the f-Toda chain with fixed ends is explicitly presented in terms of matrix elements of various fundamental representations of the SL(n|n-1) supergroup. The dominant role of the representation theory of graded Lie algebras in the problem of constructing integrable mappings and lattices is demonstrated.

12 pages, latex, no figures, some misprints corrected, one reference and report-no added

References in corpus (7)

• THE MINIMAL N=2 SUPEREXTENSION OF THE NLS EQUATION
• On the Super-NLS Equation and its Relation with N=2 Super-KdV within Coset Approach
• Tests of Integrability of the Supersymmetric Nonlinear Schrodinger Equation
• N=1,2 Super-NLS Hierarchies as Super-KP Coset Reductions
• Two-dimensional Superintegrable Mappings and Integrable Hierarchies in the $(2|2)$ Superspace
• The Solution of the N=2 Supersymmetric f-Toda Chain with Fixed Ends
• Hamiltonian Reduction and Supersymmetric Toda Models

Cited by in corpus (6)

• Hidden N=(2|2) supersymmetry of the N=(1|1) supersymmetric Toda lattice hierarchy
• Graded Lie algebras, representation theory, integrable mappings and systems: nonabelian case
• A note on real forms of the complex N=4 supersymmetric Toda chain hierarchy in real N=2 and N=4 superspaces
• Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures
• Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies
• Lax pair formulation of the N=4 Toda chain (KdV) hierarchy in N=4 superspace