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

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

1998-10-13

arxiv.org/abs/solv-int/9810009v2

Nucl.Phys. B557 (1999) 535-547

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, revised version published in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(99)00063-2

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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