PDF《HU-EP-19/02, ZMP-HH/19-2》

s. In section

3 we consider the corresponding quantum theory. Finding the hyperbolic quantum R-matrices R± and ? R, we conjecture our main formula for the quantum integrals I± k and explain how it is related to the basis of the Macdonald operators. The rest of the section is devoted to the quantum 2In the rational case there is only one family, R±12 → R12. 3In [22] this problem was avoided by looking at those entries of L only that commute with the second class constraints. C

3 C baxterised R-matrices and the quantum L-operator algebra. We show that in spite of the fact that the constant R-matrices satisfy the usual system of quantum Yang-Baxter equations, their baxterised counterparts instead obey its modi?cation that involves rescalings of the spectral parameter with the quantum deformation paramet........