A note on fermionic flows of the N=(1|1) supersymmetric Toda lattice hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

We extend the Sato equations of the N=(1|1) supersymmetric Toda lattice
hierarchy by two new infinite series of fermionic flows and demonstrate that
the algebra of the flows of the extended hierarchy is the Borel subalgebra of
the N=(2|2) loop superalgebra.

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