KZ-Calogero correspondence revisited

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.

13 pages, minor corrections

References in corpus (2)

• Trigonometric version of quantum-classical duality in integrable systems
• Supersymmetric quantum spin chains and classical integrable systems

Cited by in corpus (8)

• On R-matrix valued Lax pairs for Calogero-Moser models
• Dualities in quantum integrable many-body systems and integrable probabilities -- I
• QKZ-Ruijsenaars correspondence revisited
• Supersymmetric extension of qKZ-Ruijsenaars correspondence
• 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
• Interrelations between dualities in classical integrable systems and classical-classical version of quantum-classical duality