The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems

TL;DR

This paper quantizes the spin Calogero-Moser model using a dynamical quantum R-matrix, connecting it to previous work in Toda field theory and KZB equations, advancing the understanding of integrable quantum systems.

Contribution

It introduces a dynamical quantum R-matrix formalism for the spin Calogero-Moser model, linking it to established quantizations in Toda and KZB theories.

Findings

Quantization of the spin Calogero-Moser model using dynamical R-matrix

Identification of the R-matrix with those in Toda and KZB quantizations

Advancement in the algebraic understanding of quantum integrable systems

Abstract

We quantize the spin Calogero-Moser model in the $R$-matrix formalism. The quantum $R$-matrix of the model is dynamical. This $R$-matrix has already appeared in Gervais-Neveu's quantization of Toda field theory and in Felder's quantization of the Knizhnik-Zamolodchikov-Bernard equation.