QKZ-Ruijsenaars correspondence revisited

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.

14 pages, minor corrections

References in corpus (2)

• Trigonometric version of quantum-classical duality in integrable systems
• KZ-Calogero correspondence revisited

Cited by in corpus (9)

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• Dualities in quantum integrable many-body systems and integrable probabilities -- I
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• Generalized Devil's staircase and RG flows
• Quantum-classical duality for Gaudin magnets with boundary
• The Zoo of Opers and Dualities
• Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary
• The Dynamical equations for $\mathfrak{gl}(n|m)$