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.
- Publication:
-
Nuclear Physics B
- Pub Date:
- September 1999
- DOI:
- 10.1016/S0550-3213(99)00063-2
- arXiv:
- arXiv:solv-int/9810009
- Bibcode:
- 1999NuPhB.557..535L
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 11 pages, no figures, revised version published in Nucl. Phys. B