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Backlund transformations for difference Hirota equation and supersymmetric Bethe ansatz

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arxiv 0705.4006 v1 pith:RHIAMTDQ submitted 2007-05-28 hep-th nlin.SI

classification hep-thnlin.SI
keywords backlundtransformationsansatzbethedifferenceequationhirotasupersymmetric
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Revisiting B\"acklund-Darboux transformations for KP and BKP integrable hierarchies

    nlin.SI 2025-06 unverdicted novelty 4.0 of 10

    Revisits Bäcklund-Darboux transformations for KP, BKP and related hierarchies in bilinear tau-function and fermionic operator frameworks, extending naturally to fully discrete cases.

  2. Classical facets of quantum integrability

    math-ph 2025-01 conditional novelty 4.0 of 10

    A review showing that quantum spin chains can be solved through classical mKP soliton equations, with a new Bethe-ansatz-free proof of quantum-classical duality.

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