Backlund transformations for difference Hirota equation and supersymmetric Bethe ansatz
High Energy Physics - Theory
2009-11-13 v1 Exactly Solvable and Integrable Systems
Abstract
We consider GL(K|M)-invariant integrable supersymmetric spin chains with twisted boundary conditions and elucidate the role of Backlund transformations in solving the difference Hirota equation for eigenvalues of their transfer matrices. The nested Bethe ansatz technique is shown to be equivalent to a chain of successive Backlund transformations "undressing" the original problem to a trivial one.
Keywords
Cite
@article{arxiv.0705.4006,
title = {Backlund transformations for difference Hirota equation and supersymmetric Bethe ansatz},
author = {A. Zabrodin},
journal= {arXiv preprint arXiv:0705.4006},
year = {2009}
}