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

Olaf Lechtenfeld·Alexander S. Sorin
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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.

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Olaf Lechtenfeld, Alexander S. Sorin. 2004-01-20. A note on fermionic flows of the N=(1|1) supersymmetric Toda lattice hierarchy. https://doi.org/10.2991/jnmp.2004.11.3.3

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