New Solutions to the Yang--Baxter Equation from Two--Dimensional Representations of $U_q(sl(2))$ at Roots of Unit

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages

Scientific paper

10.1016/0370-2693(92)90399-O

We present particularly simple new solutions to the Yang--Baxter equation
arising from two--dimensional cyclic representations of quantum $SU(2)$. They
are readily interpreted as scattering matrices of relativistic objects, and the
quantum group becomes a dynamical symmetry.

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