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Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions

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arxiv 2107.13060 v2 pith:GHFUUKXY submitted 2021-07-27 math-ph cond-mat.stat-mechhep-thmath.MP

Thiago Araujo This is my paper · ORCID
classification math-phcond-mat.stat-mechhep-thmath.MP
keywords functionsproductsslavnovchainsopenspintemperley-liebbaker-akhiezer
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We study Slavnov's inner products for open Temperley-Lieb chains and their relations with the KP hierarchy. We show that when (s=1/2) the quantum group invariant XXZ spin chain has Slavnov products given by the quotient of tau functions. The Schur polynomials expansion and a matrix construction for the Baker-Akhiezer functions are also briefly considered.

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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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