R-matrices for the semicyclic representations of U_q sl^(2)

TL;DR

This paper derives R-matrices for semicyclic representations of U_q(sl^(2)) by taking a limit within the checkerboard chiral Potts model, expanding the understanding of quantum group representations.

Contribution

It introduces a novel method to obtain R-matrices for semicyclic representations through a limiting process in the chiral Potts model.

Findings

R-matrices explicitly constructed for semicyclic representations

Connection established between quantum groups and the chiral Potts model

Potential applications in integrable systems and quantum algebra

Abstract

R-matrices for the semicyclic representations of U_qsl^(2) are found as a limit in the checkerboard chiral Potts model.