Backlund transformations for difference Hirota equation and supersymmetric Bethe ansatz

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.

22 pages, 2 figures, based on the talk given at the Workshop "Classical and Quantum Integrable Systems", Dubna, January 2007

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• The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy
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