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KZ-Calogero correspondence revisited

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abstract

We discuss the correspondence between the Knizhnik-Zamolodchikov equations associated with $GL(N)$ and the $n$-particle quantum Calogero model in the case when $n$ is not necessarily equal to $N$. This can be viewed as a natural "quantization" of the quantum-classical correspondence between quantum Gaudin and classical Calogero models.

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Classical facets of quantum integrability

math-ph · 2025-01-30 · conditional · novelty 4.0

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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  • Classical facets of quantum integrability math-ph · 2025-01-30 · conditional · none · ref 52 · internal anchor

    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.