Fermionic flows and tau function of the N=(1|1) superconformal Toda lattice hierarchy
Olaf Lechtenfeld, Alexander Sorin
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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