QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION

10 May 1990

journal article
research article
Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A

Vol. 05 (11) , 831-840
https://doi.org/10.1142/s0217732390000925

Abstract

A method is developed for systematically constructing trigonometric and rational solutions of the Yang-Baxter equation using the representation theory of quantum supergroups. New quantum R-matrices are obtained by applying the method to the vector representations of quantum osp (1/2) and gl (m/n).

Keywords

GROUP THEORY
QUANTUM FIELD THEORY
REPRESENTATION THEORY
FIELD THEORY
ELEMENTARY PARTICLES
YANG BAXTER EQUATION
QUANTUM MECHANICS

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