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QKZ-Ruijsenaars correspondence revisited

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arxiv 1704.04527 v3 pith:ZLW6QCWU submitted 2017-04-14 math-ph hep-thmath.MPnlin.SI

classification math-phhep-thmath.MPnlin.SI
keywords correspondencequantumruijsenaarsassociatedchainsclassicalconstructiondiscuss
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abstract

We discuss the Matsuo-Cherednik type correspondence between the quantum Knizhnik-Zamolodchikov equations associated with $GL(N)$ and the $n$-particle quantum Ruijsenaars model, with $n$ being not necessarily equal to $N$. The quasiclassical limit of this construction yields the quantum-classical correspondence between the quantum spin chains and the classical Ruijsenaars models.

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    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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