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KP and Toda tau functions in Bethe ansatz

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arxiv 1003.3071 v1 pith:UMFW72MC submitted 2010-03-16 math-ph hep-thmath.MPmath.QAnlin.SI

Kanehisa Takasaki This is my paper · ORCID
classification math-phhep-thmath.MPmath.QAnlin.SI
keywords chainfinitehierarchiesintegrablemodelsometodaadditional
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Recent work of Foda and his group on a connection between classical integrable hierarchies (the KP and 2D Toda hierarchies) and some quantum integrable systems (the 6-vertex model with DWBC, the finite XXZ chain of spin 1/2, the phase model on a finite chain, etc.) is reviewed. Some additional information on this issue is also presented.

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  1. More on Slavnov Products of Spin Chains and KP Hierarchy Tau Functions

    hep-th 2025-05 reject novelty 5.0 of 10

    Slavnov products of Bethe states in rational spin chains are shown to be KP tau functions, with new Wronskian and Baker-Akhiezer formulas, but the key identification relies on an unverified assumption.

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