Fermionic flows and tau function of the N=(1|1) superconformal Toda lattice hierarchy
solv-int
2009-10-31 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.solv-int/9810009,
title = {Fermionic flows and tau function of the N=(1|1) superconformal Toda lattice hierarchy},
author = {Olaf Lechtenfeld and Alexander Sorin},
journal= {arXiv preprint arXiv:solv-int/9810009},
year = {2009}
}
Comments
11 pages, no figures, revised version published in Nucl. Phys. B