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KZ-Calogero correspondence revisited

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arxiv 1701.06074 v2 pith:NOIDVI53 submitted 2017-01-21 math-ph hep-thmath.MPnlin.SI

A. Zabrodin , A. Zotov This is my paper · ORCID
classification math-phhep-thmath.MPnlin.SI
keywords correspondencecalogeroquantumassociatedcaseclassicaldiscussequal
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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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  1. Classical facets of quantum integrability

    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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