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

Abstract

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.

4 pages LaTeX

References in corpus (1)

• Hidden N=(2|2) supersymmetry of the N=(1|1) supersymmetric Toda lattice hierarchy

Cited by in corpus (2)

• Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures
• The sl(2n|2n)^(1) Super-Toda Lattices and the Heavenly Equations as Continuum Limit