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Q-Boson model and relations with integrable hierarchies

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arxiv 2405.01213 v2 pith:JCWDKEBU submitted 2024-05-02 math-ph hep-thmath.MPnlin.SI

Q-Boson model and relations with integrable hierarchies

classification math-ph hep-thmath.MPnlin.SI
keywords integrablefunctionshierarchiesmodelanalyzebethebosonclassical
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This work investigates the intricate relationship between the q-boson model, a quantum integrable system, and classical integrable systems such as the Toda and KP hierarchies. Initially, we analyze scalar products of off-shell Bethe states and explore their connections to tau functions of integrable hierarchies. Furthermore, we discuss correlation functions within this formalism, examining their representations in terms of tau functions, as well as their Schur polynomial expansions.

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Cited by 1 Pith paper

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  1. Unitary matrix models, quantized symmetric functions and spin chain

    hep-th 2026-07 conditional novelty 6.0

    Unitary matrix models are mapped to vacuum correlators of quantized symmetric functions in the N-magnon sector of a spin chain via Schur orthogonality.