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Fermionic flows and tau function of the N=(1|1) superconformal Toda lattice hierarchy

Olaf Lechtenfeld·Alexander Sorin
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Abstract

An infinite class of fermionic flows of the N=(1|1) superconformal Toda lattice hierarchy is constructed and their algebraic structure is studied. We completely solve the semi-infinite N=(1|1) Toda lattice and chain hierarchies and derive their tau functions, which may be relevant for building supersymmetric matrix models. Their bosonic limit is also discussed.

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Olaf Lechtenfeld, Alexander Sorin. 1999-01-29. Fermionic flows and tau function of the N=(1|1) superconformal Toda lattice hierarchy. https://doi.org/10.1016/s0550-3213(99)00063-2

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