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

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.

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

References in corpus (1)

• Berezinian Construction of Super-Solitons in Supersymmetric Constrained KP Hierarchies

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• Supersymmetric KP hierarchy in N=1 superspace and its N=2 reductions
• The sl(2n|2n)^(1) Super-Toda Lattices and the Heavenly Equations as Continuum Limit
• Bosonic symmetries of the extended fermionic $(2N,2M)$-Toda hierarchy
• Lax pair formulation of the N=4 Toda chain (KdV) hierarchy in N=4 superspace