New solutions to the Yang-Baxter equation from two-dimensional representations of U<sub>q</sub>(sl(2)) at roots of unity

Ruiz-Altaba, Marti

doi:10.1016/0370-2693(92)90399-O

Scientific article

English

New solutions to the Yang-Baxter equation from two-dimensional representations of U_q(sl(2)) at roots of unity

ContributorsRuiz-Altaba, Marti

Published inPhysics Letters. B, vol. 279, no. 3-4, p. 326-332

Publication date1992

Abstract

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.

Affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

Citation (ISO format)

RUIZ-ALTABA, Marti. New solutions to the Yang-Baxter equation from two-dimensional representations of U_q(sl(2)) at roots of unity. In: Physics Letters. B, 1992, vol. 279, n° 3-4, p. 326–332. doi: 10.1016/0370-2693(92)90399-O

Article (Published version)

CC BY

Identifiers

PID : unige:115694
DOI : 10.1016/0370-2693(92)90399-O

Additional URL for this publicationhttps://linkinghub.elsevier.com/retrieve/pii/037026939290399O

Journal ISSN0370-2693

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New solutions to the Yang-Baxter equation from two-dimensional representations of Uq(sl(2)) at roots of unity

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.

Technical informations

New solutions to the Yang-Baxter equation from two-dimensional representations of U_q(sl(2)) at roots of unity